Question

Find the LCM and HCF of 840 and 144 by applying the Fundamental Trece of Arithmetic​

Answer 1

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Find the prime factorization of 144 :-

144 = 2 × 2 ×2×2×3×3

Find the prime factorization of 840 :-

840 = 2 × 2 × 2 × 3 × 5 × 7

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7

LCM = 5040

Answer 2

Answer:

given- a= 850 , b=144

find= HCF

sol. by using E.D.L

a=bq+r

840= 144×5+120

hence r≠0

continuing E.D.L

144=120×1+24

hence r≠0

continuing E.D.L

120=24×5+0

HCF= 24

Find the prime factorization of 144 :-

144 = 2 × 2 ×2×2×3×3

Find the prime factorization of 840 :-

840 = 2 × 2 × 2 × 3 × 5 × 7

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7

LCM = 5040

it took me so much time to type:)