Question

find the LCM of 12,18,36,40​

Answer 1

Answer:

3960

Step-by-step explanation:

1. Decompose all numbers into prime factors

2. Write all numbers as the product of its prime factors

Prime factors of 18 = 2 . 32

Prime factors of 36 = 22 . 32

Prime factors of 40 = 23 . 5

Prime factors of 88 = 23 . 11

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 23

Uncommon prime factors: 3 , 5 , 11

Uncommon prime factors with the greatest exponent: 32, 51, 111

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 23. 32. 51. 111 = 3960