I can find the least common multiple (LCM) of two numbers by listing or comparing their multiples.Puedo hallar el mínimo común múltiplo (mcm) de dos números haciendo listas de sus múltiplos o comparándolos.
MissionMisión · Maker WorkshopTaller de creadores · night shiftturno de noche
Build it right.Constrúyelo bien.
After hours, the workshop's big build begins: gears that must meet, boards that must be marked, and packs that must come out even. Choose the least common multiple, not just any common multiple, and prove it with your lists.
Después del horario, empieza la gran construcción del taller: engranajes que deben encontrarse, tableros que deben marcarse y paquetes que deben salir parejos. Elige el mínimo común múltiplo, no cualquier múltiplo común, y demuéstralo con tus listas.
Word bankBanco de palabras 4 words4 palabrasleast common multiple (LCM), multiple, common multiple, …mínimo común múltiplo (mcm), múltiplo, múltiplo común, …
- least common multiple (LCM)mínimo común múltiplo (mcm)
- The smallest positive number that is a multiple of two or more numbers.El menor número positivo que es múltiplo de dos o más números.
- multiplemúltiplo
- What you get when you multiply a number by 1, 2, 3, and so on.Lo que obtienes al multiplicar un número por 1, 2, 3, y así sucesivamente.
- common multiplemúltiplo común
- A number that is a multiple of two or more numbers.Un número que es múltiplo de dos o más números.
- skip countingconteo salteado
- Counting by a number, like 2, 4, 6, to list its multiples.Contar de un número en un número, como 2, 4, 6, para listar sus múltiplos.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find Jaylen's Mistake
- You are making party favors. Glow sticks come in packs of 10 and bracelets come in packs of 4. What is the fewest of each you can buy so every favor has exactly one glow stick and one bracelet with none left over? Explain how the LCM solves this problem.
- A builder works on a 200 cm board, starting at 0 cm. A hole is drilled every 14 cm. A line is marked every 21 cm. The starting end does not count. At how many places do a hole and a line land together?
- Bolts come in packs of 15 and brackets come in packs of 6. Pat wants exactly the same number of bolts as brackets, with none left over, and as few packs as possible. How many packs of each should Pat buy?
- 5 packs of bolts and 2 packs of brackets
- 6 packs of bolts and 15 packs of brackets
- 1 pack of bolts and 1 pack of brackets
- 2 packs of bolts and 5 packs of brackets
- Gear A has 16 teeth and gear B has 24 teeth. The gears start with two marked teeth touching. How many full turns does the smaller gear make before the marked teeth touch again?
- The table lists where Saw A (every 10 cm) and Saw B (every 25 cm) cut a long board. How many cuts has Saw A made when the two saws first cut the same spot?
- 2 cuts
- 5 cuts
- 7 cuts
- 50 cuts
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Sort each number: is it a common multiple of 10 and 15, or not?
- Design two repeating signals that first flash together at a time you choose. List the multiples of each period until they meet, then explain why that time is the least common multiple and not a later one.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Cleo found the least common multiple of 12 and 15 and got 180. Tap the step where her thinking goes wrong.
- Dev found the least common multiple of 8 and 10 and got 10. Tap the step where his thinking goes wrong.
- A bracelet has a red bead at every 5th place and a green bead at every 9th place. Both colors are at place 0. Rina says they are next at the same place at place 14. Tap the step where her thinking goes wrong.
- Dev says the LCM of 4 and 8 is 32, because 4 × 8 = 32. Hana says the LCM is 8, because 8 is already a multiple of 4. Who is right?
- Dev: the LCM is always the product of the two numbers.
- Both are right: 8 and 32 are both common multiples, so either one is the LCM.
- Neither: the LCM of 4 and 8 is 4.
- Hana: 8 is a multiple of both 4 and 8, and no smaller number is.
- What is the best next move?
- Report 24 as the time.
- Add 24 minutes to 6:00 AM to find the clock time.
- Add 96 minutes, the product 12 × 8, to 6:00 AM.
- Subtract 24 minutes from 6:00 AM.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- Which number is a common multiple of 5 and 12 but is NOT their least common multiple?
- 60
- 17
- 120
- 144
- What is the least common multiple of 18 and 24?
- I am a common multiple of 4 and 6. I am greater than 30 and less than 40. Which number am I?
- 36
- 30
- 32
- 40
- For which pair of numbers is the least common multiple equal to the product of the two numbers?
- 10 and 14
- 8 and 15
- 6 and 21
- 12 and 20
- A decorative strip repeats a blue tile every 6 tiles and a gold tile every 14 tiles. Both colors are at tile 0. At which tile number do blue and gold first land together again?
- Create your own Maker Workshop problem that needs a least common multiple. Solve it by listing multiples, and explain why your answer is the LEAST common multiple and why a bigger common multiple would not answer the question.