M. ज्ञात करें तथा सत्यापित करें कि दो संख्याओं का
HCFXLCM

(iii) 777 और 1147​

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1. Answer:

   Given numbers are 777 and 1147.

   The prime factorization of 777 and 1147 gives:

   777 = 3 × 7 × 37 and 1147 = 31 × 37.

   Therefore, the H.C.F of these two integers = 37.

   Now, the L.C.M of 96 and 404 = 3 × 7 × 31 × 37 = 24087.

   Now, we have to verify.

   L.H.S = L.C.M × H.C.F = 24087 × 37 = 891219.

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