find the HCF and LCM of the following and verify that is HCF × LCM equal to product of numbers ?
(1) 12,48,60. (2) 15,30,90
Answers
Answered by
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.
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.
Similar questions