H.C.F of 3240, 3600 and a third num...
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H.C.F of 3240, 3600 and a third number is 36 and their L.C.M. is 24x35x52x72. Find the third number.

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Maths
Solution
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H.C.F. ( =2^{2} times 3^{2} ) L.C.M. ( =2^{4} times 3^{5} times 5^{2} times 7^{2} ) Ist number ( =2^{3} times 3^{4} times 5 ) 2nd number ( =2^{4} times 3^{2} times 5^{2} ) observing the above situation, we conclude that the third number must be ( 2^{2} times 3^{2} times 3^{3} times 7^{2}=2^{2} times 3^{5} times 7^{2} )
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