the ratio of two number is 3:4 and their HCF is 4 their LCM is
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the ratio of two number is 3:4 and their HCF is 4 their LCM is
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Given,
Ratio of numbers = 3 : 4
∴ numbers are 3x and 4x
HCF = 4
To Find,
LCM = ?
Solution,
3x = x × 3
4x = x × 4
HCF = product of common terms with lowest power
==> HCF = x
==> x = 4
Now,
We know
==> HCF × LCM = product of numbers
numbers = 3x = 3×4 = 12
==> 4x = 4×4 = 16
==> 4 × LCM = 12 × 16
==> LCM = 12×16/4
==> LCM = 16×3
==> LCM = 48