the product of two number is 2925 and their HCF is 15 find the LCM of these numbers
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Answer:
Given :-
- The product of two numbers is 2925.
- Their HCF is 15.
To Find :-
- What is the LCM of these numbers.
Solution :-
Let,
➲ LCM of the numbers = x
As we know that :
Given :
- Product of two numbers = 2925
- HCF = 15
According to the question by using the formula we get,
➳ 2925 = 15 × x
➳ 2925 = 15x
➳ 2925/15 = x
➳ 195/1 = x
➳ 195 = x
➸ x = 195
The LCM of the numbers is 195 .
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VERIFICATION :-
➵ 2925 = 15 × x
By putting x = 195 we get,
➵ 2925 = 15 × 195
➵ 2925 = 2925
➽ L.H.S = R.H.S
Hence Verified !
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