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

plzz answer fast with explanation!!!

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by sainarajput

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plzz answer fast with explanation!!!

by sainarajput

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This means that one number is 3x and the other 4x.

This also denotes that gcd(3x,4x)=4.

This means that the product of the commons in the prime fact. of 3x and 4x is 4.

This means that we have to prime factorize 4.

It's 4=2×2.

This means that both 3x and 4x share 2square in their prime factorization.

This says that

gcd(12,16)=2×2=4

Ha! Here we see hcf of 12 and 16 is 4 and the pair satisfies both conditions.

Now just find lcm.

lcm(12,16)=2⁴×3=16×3=48.

The Brainliest Answer!

Ratio is obtained after we divide the common divisor, right!!!

The common divisor is the H.C.F., of the two numbers, right!!!

Therefore, 3*4 is a number, and 4*4 is another number.

So, the numbers are, 12 and 16.

L.C.M. of 12 and 16 = H.C.F. of 12 and 16 * remaining multiples, right!!!

12= 4*3

16=4*4

L.C.M. of 12 and 16 = 4*3*4

=48.

Therefore, the L.C.M. is 48.

Thank you.

Hope this will help you.