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I want the steps. The LCM of two numbers is 42 .it both the numbers are of two digits,and are not the exact multiples of each other ,what are the numbers?

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The L.C.M. of 42 is 42=2*3*7,to get both the digits of the number,we will multiply the numbers with 2,3,7 to find the numbers which are not exactly multiples of each other
(1) Both the numbers has 2 in common -> 2 * 3, 2 * 7 -> 6, 14
(2) Both the numbers has 3 in common -> 3 * 2, 3 * 7 -> 6, 21
(3) Both the numbers has 7 in common -> 7 * 2, 7 * 3 -> 14, 21
Since both the numbers are 2-digit we get 14,21 as the final answers

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Deependra Verma

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