Question

find the LCM of the following numbers by the prime factorization method a 180 144​

Answer 1

Step-by-step explanation:

Prime factorization of 144 and 180 is

(2 × 2 × 2 × 2 × 3 × 3) = 24 × 32 and

(2 × 2 × 3 × 3 × 5) = 22 × 32 × 51 respectively.

LCM of 144 and 180 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 32 × 51 = 720.

Hence, the LCM of 144 and 180 by prime factorization is 720.

Answer 2

Answer:

360

Step-by-step explanation:

2 || 180 , 144

2 || 90 , 72

2 || 45 , 36

5 || 45 , 18

3 || 9 , 18

3 || 3 , 6

1 , 2

2×2×2×5×3×3×2

72×5

360