Question

Find LCM of 92 and 510.Also find their HCF by using LCM.

Answer 1

Sol:
HCF of 510 and 92.

510 = 92 x 5 + 50
92 = 50 x 1 + 42
50 = 42 x 1 + 8
42 = 8 x 5 + 2
8 = 2 x 4 + 0

∴ HCF of 510 and 92 = 2

Product of two numbers = Product of their LCM and HCF

510 x 92 = 2 x LCM

LCM = (510 x 92) / 2

        = 23460

∴ LCM of 510 and 92 = 23460

Answer 2

Sol:

HCF of 510 and 92.

510 = 92 x 5 + 50

92 = 50 x 1 + 42

50 = 42 x 1 + 8

42 = 8 x 5 + 2

8 = 2 x 4 + 0

∴ HCF of 510 and 92 = 2

Product of two numbers = Product of their LCM and HCF

510 x 92 = 2 x LCM

LCM = (510 x 92) / 2

= 23460

∴ LCM of 510 and 92 = 23460