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Real Numbers

Question
CBSEENMA10006095

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.  (iii) 336 and 54

Solution

(iii)

So, 336 = 24 × 3 × 7

and    54 = 2 × 33

∴ H.C.F. = 2 × 3 = 6

L.C.M. = 24 × 33 × 7 = 3024

= 23460

Verification :

L.C.M. × H.C.F. = 3024 × 6 = 18144

Product of the two nos. = 336 × 54 = 18144

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

Verified.