Real Numbers

Question

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91

Answer

(i) 26 and 91

So,    26 = 2 × 13

and    91 = 7 × 13

∴ H.C.F. (26, 91) = 13

and L.C.M. (26, 91) = 2 × 7 × 13 = 182

Verification :

L.C.M. × H.C.F. = 182 × 13 = 2366

Product of the two nos. = 26 × 91 = 2366

∴ L.C.M. × H.C.F. = Product of the two nos.

Verified.



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