Question

if the ratio of two numbers is 5:8 and their hcf is 8 what will be there lcm
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Answer 1

Answer:

325

Solution:

Let two numbers are a and b

Then

a= 5y

b= 8y

Factors of :

a= 5 × y

b= 8× y = 2×2×2×y

Both have only common factor y it means y is HCF of a and b

Given HCF of a and b = 8

So, y = 8

Then,

a = 5y = 5×(8) =40

b = 8y = 8×(8) = 64

for LCM

40 = 2×2×2×5 = 2^3 × 5

64= 2×2×2×2×2×2 = 2^6

LCM(40, 64) = 2^6 × 5

=325

LCM of two numbers will be 325 .