Question

Two numbers are in the ratio 4:5 and their HCF is 11. Find the LCM of these numbers.

Answer 1

Given ratio of the numbers is 4:5

∴ let the numbers be 

a = 4x and b = 5x

Clearly H.C.F (4x, 5x) = x

Given H.C.F = 11

∴ x = 11

substitute in (1)

Numbers are a = 4x = 4 × 11 = 44

and b = 5x = 5 × 11 = 55

H.C.F × L.C.M = Product of the two numbers

∴ L.C.M = `(a × b)/(H.C.F)`

`L.C.M = (44xx55)/11`

L.C.M = 220