Question

Find HCF and LCM of 60,120,228 by using prime factorisation method.​

Answer 1

2 | 60, 120, 228

2 | 30, 60, 114

2 | 15, 30, 57

3 | 15, 15, 57

5 | 5, 5, 19

19| 1, 1, 19

| 1, 1, 1

LCM = 19×5×3×2×2×2 = 2280

2 | 60 2 | 120 2 | 228

2 | 30 2 | 60 2 | 114

3 | 15 2 | 30 3 | 57

5 | 5 3 | 15 19 | 19

| 1 5 | 5 1 | 1

1 | 1

60 = 2×2×3×5

120 = 2×2×2×3×5

228 = 2×2×3×19

HCF = 2×2×3 = 4×3 = 12