Question

find the LCM of 96,108 and 144​

Answer 1

Answer:

1. Decompose all numbers into prime factors

96 2 48 2 24 2 12 2 6 2 3 3 1 108 2 54 2 27 3 9 3 3 3 1 144 2 72 2 36 2 18 2 9 3 3 3 1

Answer 2

Answer:

Step-by-step explanation:

prime factors of 96=2^5,3

Prime factors of 108=2²,3³

Prime factors of 144=2^4,3²

Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 25, 33

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

alculate 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 = 25. 33 = 864