Least Common Multiple

6.NOS.4 · Unit 1 · Lesson 3

Name   Period

Objectives / Objetivos

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.

Key Idea / Idea clave

The LCM is the FIRST number that shows up in both numbers' multiple lists.

I Notice / Observo

  • How often does each astronaut check their system?
  • What times will each astronaut be doing checks?

I Wonder / Me pregunto

  • When will both schedules line up at the same time?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Multiple
Múltiplo		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.
Least common multiple
Mínimo común múltiplo		The smallest number that two or more numbers both go into.
El número más pequeño al que llegan dos o más números al multiplicar.
Common multiple
Múltiplo común		A number that two or more numbers both go into.
Un número al que llegan dos o más números al multiplicar.
Skip counting
Conteo 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.
Prime factorization
Factorización prima		Writing a number as prime numbers multiplied together. It helps you find the LCM.
Escribir un número como números primos multiplicados. Ayuda a encontrar el mcm.

Practice Preview / Vista previa de práctica

  1. What is the LCM of 3 and 5?
    1. 15
    2. 3
    3. 5
    4. 30
  2. Match each pair of numbers to their LCM.
  3. List multiples of each number until you find the LCM.
  4. Find Jaylen's Mistake
    1. Step 1: Find LCM of 8 and 12 — List multiples of 8 and 12
    2. Step 2: Multiples of 8 — 8, 16, 24, 32, 40, 48
    3. Step 3: Multiples of 12 — 12, 24, 36, 48
    4. Step 4: Common multiples — 24, 48
    5. Step 5: Choose LCM — LCM = 48

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: