Least Common Multiple — Notes Packet

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the least common multiple (LCM) of two numbers by listing or comparing their multiples.

Language Objective: I can explain how I found the LCM using the words multiple, common multiple, skip counting, and least common multiple.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1The product of a number and any whole number is a of that number.
2 — The smallest number that two or more numbers both go into.
3A multiple that two or more numbers share is a multiple.
4Counting forward by a number other than 1, like 6, 12, 18, is called .
5 — Writing a number as prime numbers multiplied together. It helps you find the LCM.

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

You skip counted the multiples of 4 and 6. How did you find the least common multiple from your lists?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Multiple — What you get when you multiply a number by 1, 2, 3, and so on.Múltiplo — Lo que obtienes al multiplicar un número por 1, 2, 3, y así. Least common multiple — The smallest number that two or more numbers both go into.Mínimo común múltiplo — El número más pequeño al que llegan dos o más números al multiplicar. Common multiple — A number that two or more numbers both go into.Múltiplo común — Un número al que llegan dos o más números al multiplicar. Skip counting — Counting by a number, like 2, 4, 6, to list its multiples.Conteo salteado — Contar de un número en un número, como 2, 4, 6, para listar sus múltiplos. Prime factorization — Writing a number as prime numbers multiplied together. It helps you find the LCM.Factorización prima — Escribir un número como números primos multiplicados. Ayuda a encontrar el mcm.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

The multiples of 4 are ___ and the multiples of 6 are ___.Los múltiplos de 4 son ___ y los múltiplos de 6 son ___.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: The next shared check is a common multiple of 4 and 6, not their sum.

Evidence: Students reason that each astronaut repeats on multiples of their own number, so they only overlap at a common multiple, and adding 4 + 6 does not land on both schedules.

Reasoning: This evidence connects the definition of multiple to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

The multiples of 4 are ___ and the multiples of 6 are ___.Los múltiplos de 4 son ___ y los múltiplos de 6 son ___.
The least common multiple is ___ because it is the ___ shared multiple.El mínimo común múltiplo es ___ porque es el múltiplo compartido más ___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.