Question 71

The ratio of two numbers is 4 : 3 and their HCF is 8. Find their LCM.

Solution

Let the number be 3x and 4x

LCM*HCF=product of two numbers

8*LCM=3x*4x

LCM=$$\frac{12x^2}{8}$$

LCM=$$\frac{3x^2}{2}$$

LCM of 3x and 4x=12x

12x=$$\frac{3x^2}{2}$$

x=8

the number be $$3\times 8$$ and $$4\times 8$$ = 24,32

LCM=(24,32) = 96


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