Question

Find the HCF and lcm of 336 and 54 by prime factorisation method

Answer 1

Find the prime factorization of 336
336 = 2 × 2 × 2 × 2 × 3 × 7Find the prime factorization of 54
54 = 2 × 3 × 3 × 3Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7LCM = 3024

Find least common multiple (lcm) of: 672 & 108 168 & 27 1008 & 162 112 & 18 1680 & 270 2352 & 378 672 & 54 336 & 108 1008 & 54 336 & 162 1680 & 54 336 & 270 2352 & 54 336 & 378

Answer 2

Solution.
Frist of all factorise 336 & 54
336 = 2*2*2*2*3*7
54 = 2*3*3*3
Least power in whole sepuense
= 2*3
Hcf(336,54)
= 2*3 = 6
Lcm(336,54)
=2*2*2*2*3*3*3*7
= 3024

Hcf*Lcm
6*3024
= 18,144

Verification:
Product of 336 &54
336*54 = 18,144

The question is verified.