Two numbers are in the ratio 5:6. If their H. | vedclass

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(C) Let the two numbers be $5x$ and $6x$,where $x$ is the common factor.The $H.C.F.$ of $5x$ and $6x$ is $x$.Given that the $H.C.F.$ is $4$,we have $x

Vedclass · Accepted Answer

$120$

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(C) Let the two numbers be $5x$ and $6x$,where $x$ is the common factor.The $H.C.F.$ of $5x$ and $6x$ is $x$.Given that the $H.C.F.$ is $4$,we have $x = 4$.Therefore,the numbers are $5 	imes 4 = 20$ and $6 	imes 4 = 24$.The $L.C.M.$ of two numbers is given by the product of the ratio parts and the $H.C.F.$:$L.C.M. = 5 	imes 6 	imes 4 = 120$.Alternatively,using the formula: $L.C.M. = \frac{	ext{Product of numbers}}{H.C.F.} = \frac{20 	imes 24}{4} = 20 	imes 6 = 120$.

Two numbers are in the ratio $5:6$. If their $H.C.F.$ is $4$,then their $L.C.M.$ will be

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