Question

Find Hcf and lcm of 288,360,384 by prime factorization

Answer 1

The lcm of 288 and 360 is 1440.

Steps to find LCMFind the prime factorization of 288
288 = 2 × 2 × 2 × 2 × 2 × 3 × 3Find the prime factorization of 360
360 = 2 × 2 × 2 × 3 × 3 × 5Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5LCM = 1440