Question

Find LCM and HCF of the following pairs
of integers and verify that LCM X HCF =
product of integers =
(i)63 and 168 (ii) 144 and 160​

Answer 1

63 and 168

3/63

3/21

7/7

1

HCF=product of smallest power of each commen prime factor=7

2/168

2/84

2/42

3/21

7/7

1

LCM=product of gratest power of each prime factor=3*2*7=42

144 and 160

2/144

2/72

2/36

2/18

3/9

3/3

1

HCF=product of smallest power of each prime factor = 3*5=15

2/160

2/80

2/40

2/20

2/10

5/5

1

LCM=product of gratest power of each prime factor =2*3*5=30

Answer 2

Answer:

(i) HCF : 3×7 = 21

LCM : 21 ×3×2×2×2 = 504

verification: 21×504 = 63×168

10584 = 10584

(ii) HCF : 2×2×2×2 = 16

LCM : 16×3×3×2×5 = 1440

verification: 16×1440 = 144×160

23040 = 23040