Find HCF of 378,180, 420. Is HCF *LCM is equal to the product of three

1.	Find HCF of 378,180, 420. Is HCF *LCM is equal to the product of three numbers?
Answer» Factor all three numbers common number in all Three number then hcf and power mutiply then lcmLcm×hcf=a×b×c 378 = 2x3x3x3x7180 = 2x2x3x5x7420 = 2x2x3x5x7.L.C.M ( 378,180,420) = 2x2x3x3x3x5x7 = 3780H.C.F ( 378,180,420) = 2x3 = 6⇒ L.C.M ( 378,180,420) x H.C.F ( 378,180,420) ≠ 378 x 180 x 420.⇒ 3780 x 6 ≠ 378 x 180 x 420.\xa0∴ 22680 ≠ 28576800.∴HCF and LCM of three number is not equal to product of three number.

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