Question

What is the hcf and the lcm of 576 and 1440

Answer 1

Answer:

Steps to find LCM

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Find the prime factorization of 1440

1440 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

Multiply 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 × 2 × 3 × 3 × 5

LCM = 2880

576: 2 2 2 2 2 2 3 3

1440: 2 2 2 2 2 3 3 5

_____________________________

HCF: 2 2 2 2 2 3 3

The Highest Common Factor (HCF) is: 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

Answer 2

Answer:

LCM = 2880

HCF= 288