Question

Find the prime factors of the following numbers and find their LCM and HCF.

(i) 75, 135 (ii) 114, 76 (iii) 153, 187 (iv) 32, 24, 48

Answer 1

(i) 75, 135

HCF = 3 × 5 = 15
LCM = 3 × 5 × 5 × 9 = 675

(ii) 114, 76

HCF = 2 × 19 = 38
LCM = 2 × 19 × 2 × 3 = 228

(iii) 153, 187

HCF = 17
LCM = 17 × 9 × 11 = 1683

(iv) 32, 24, 48

HCF = 2 × 2 × 2 = 8
LCM = 2 × 2 × 2 × 2 × 2 × 3 = 96