Least Common Multiple
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. What is the LCM of 3 and 5?
- A 3
- B 5
- C 15
- D 30
Answer:
2. Match each pair of numbers to their LCM.
Write the letter of the matching item in the blank.
| 1. | LCM(2, 5) | A. | 12 | |
| 2. | LCM(4, 10) | B. | 18 | |
| 3. | LCM(3, 8) | C. | 24 | |
| 4. | LCM(6, 9) | D. | 20 | |
| 5. | LCM(5, 7) | E. | 10 | |
| 6. | LCM(4, 6) | F. | 35 |
3. List multiples of each number until you find the LCM.
Complete each empty cell. Show your reasoning below.
| Numbers | Multiples of First | Multiples of Second | LCM |
|---|---|---|---|
| 6 and 10 | |||
| 8 and 12 | |||
| 9 and 12 |
4. Find Jaylen's Mistake
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: