If the L.C.M. of a and 18 is 36 and the H.C.F of a and 18 is 2, then a =Deselect Answer 3 2 1 4
Question
If the L.C.M. of a and 18 is 36 and the H.C.F of a and 18 is 2, then a =Deselect Answer 3 2 1 4
Solution
To find the value of "a", we can use the given information about the L.C.M. and H.C.F. of "a" and 18.
Step 1: L.C.M. of a and 18 is 36 The L.C.M. (Least Common Multiple) is the smallest multiple that is divisible by both numbers. In this case, the L.C.M. of "a" and 18 is 36.
Step 2: H.C.F. of a and 18 is 2 The H.C.F. (Highest Common Factor) is the largest factor that is common to both numbers. In this case, the H.C.F. of "a" and 18 is 2.
Step 3: Finding the value of "a" To find the value of "a", we need to find the prime factors of 18 and see which factors are common with "a".
The prime factors of 18 are 2 and 3.
Since the H.C.F. of "a" and 18 is 2, it means that "a" must have a factor of 2.
However, the L.C.M. of "a" and 18 is 36, which means that "a" must have a factor of 36 as well.
Since 36 is not a factor of 18, it means that "a" must have additional factors that are not present in 18.
Therefore, the only possible value for "a" is 36.
So, a = 36.
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