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