the ration of two numbers is 3:4and their hcf is 4 find their lcm
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Let the two numbers be 3x and 4x. Their LCM is 12x and HCF is 4.
The product of HCF and LCM = product of the two numbers. Or
12x*4 = 3x*4x, or
48x = 12x^2, or
4 = x. Hence the numbers are 12 and 16.
Check: 12 = 2x2x3
16 = 2x2x2x2
The HCF is 4 and the LCM 48.
The product of the two numbers is 12x16 = 192. The product of HCF and LCM is 4x48 = 192. Correct.
The numbers are 12 and 16 and their LCM is 48.
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