Question

FIND the LCM of 144, 180, 192​

Answer 1

Step-by-step explanation:

LCM of 144, 180, 190

is 2880

Answer 2

Answer:

We have to find the LCM of 144, 180, 192

Factors of 144 = 2 × 2 × 2 × 2 × 3 × 3

Factors of 180 = 2 × 2 × 3 × 3 × 5

Factors of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

Common factors of 144, 180, 192 = {2,2,3}

LCM (144,180,192) = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

= 2880

Step-by-step explanation:

LCM of 144, 180, and 192 is the smallest number among all common multiples of 144, 180, and 192. The first few multiples of 144, 180, and 192 are (144, 288, 432, 576, 720 . . .), (180, 360, 540, 720, 900 . . .), and (192, 384, 576, 768, 960 . . .) respectively. There are 3 commonly used methods to find LCM of 144, 180, 192 - by division method, by prime factorization, and by listing multiples

Answer: LCM of 144, 180, and 192 is 2880.

LCM of 144, 180, and 192

Explanation

The LCM of three non-zero integers, a(144), b(180), and c(192), is the smallest positive integer m(2880) that is divisible by a(144), b(180), and c(192) without any remainder.