Q. 105.0( 1 Vote )

Find g. c. d and l.c.m.

112, 128, 144

Answer :

For L.C.M or G.C.D we first need to find the prime factors of the numbers

112 = 2 × 2 × 2 × 2 × 7


128 = 2 × 2 × 2 × 2 × 2 × 2 × 2


144 = 2 × 2 × 2 × 2 × 3 × 3

g.c.d of a group of numbers is the product of numbers that are common to the prime factors of numbers 
 

Therefore, g. c. d(112, 128, 144) = 2 × 2 × 2 × 2 = 16

L.C.M of a group of numbers is the product of all the factors of three numbers without replicating the number more than one which is common to all numbers

Therefore, l.c.m.(112, 128, 144) = 27 × 3 × 3 × 7 = 8064

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