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12. HCF of 3240, 3600 and a thirdnumber is 36 and their LCM is 24x 35 x 52 x 72. The third number is |
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Answer» 3600 = 2^4*3^2*5^23240 = 2^2*3^4*5H.C.F = 36 = 2^2 *3^2Since H.C.F is the product of the lowest power of common Factor, so the third Number must have (2^2 *3^2) as its factor.Since L.C.M is the Product of Highest power of Common Prime Factor, So the Third number must have 3^5 and 7^2 as its factor.Therefore, the third number = 2^2*3^5*7^2 |
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