Question

using prime factorisation, find the hcf and lcm of 72, 126 and168 also show hcf ​

Answer 1

Step-by-step explanation:

Least Common Multiple of 72,126 and 168 can be calculated by the below method

2|72,126,168

3|36,63,84

7|12,21,28

2|12,3,4

2|6,3,2

3|6,3,1

2|2,1,1

|1,1,1. L.C.M. of 72,126 and 168 =>2×3×7×2×2×3×2 => 1008.

2|72

2|36

2|18

3|9

3|3

|1 =>72=2×2×2×3×3

2|126

3|63

3|21

7|7

|1 =>126=2×3×3×7

2|168

2|84

2|42

3|21

7|7

|1 =>168=2×2×2×3×7 Hence H.C.F. of 72,126 and 168 is 6. Hope it helps you.