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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

The ratio of two no.s is 3:4. this means that they were cancelled by a number, say x. 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 A number divisible by 3 and 4 is 3x and a number divisible by 4 and has 2 twice when compared to pf(3) is 4x. Think of such a pair: an example is 12 and 16. 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.

Ratio is 3:4. 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.