Least Common Multiple

6.NOS.4 · Unit 6 · Lesson 12

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

Least Common Multiple (LCM). 1. Skip count multiples of each number starting with the larger number. 2. Identify the first non-zero multiple that appears in both lists. 3. Prime factorization method: Product of highest powers of all prime factors

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
Least Common Multiple
Mínimo común múltiplo		The least positive number that is a multiple of two or more numbers.
El menor número positivo que es múltiplo de dos o más números.
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.
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: