MATH SOLVE

3 months ago

Q:
# Which of the following expressions represents the least common multiple of 15,18, and 25?

Accepted Solution

A:

Answer:The least common multiple = 2 × 3² × 5²Step-by-step 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 = 3² × 2∵ 25 = 5 × 5 = 5²∴ The least common multiple = 2 × 3² × 5² = 450* The least common multiple is 450