asked 59.1k views
2 votes
Which of the following expressions represents the least common multiple of 15,18, and 25?

asked
User Slavica
by
8.6k points

1 Answer

3 votes

Answer:

The least common multiple = 2 × 3² × 5²

Explanation:

* The common multiple of some numbers must be greater than

the numbers or equal the greatest one and it must divisible by

the all numbers (can divided by them without remainder

- Ex: 12 is the common multiple of 3 , 4 and 6

- It is greater than them and it is divisible by 3 , 4 and 6

* How to find the common multiple

- Factorize each number using prime factors 92 , 3 , 5 , 7 , 11 , .....)

- Take all the common factors and multiply them by each other

* Lets solve our problem

∵ 15 = 3 × 5

∵ 18 = 3 × 3 × 2 = × 2

∵ 25 = 5 × 5 =

∴ The least common multiple = 2 × 3² × 5² = 450

* The least common multiple is 450

answered
User Scott McLeod
by
8.1k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.