Question

Find L.c.m. and H.C.F. of the following.
(a) 250 and 336 (6) 125 and 400

Answer 1

Step-by-step explanation:

GCD (Greatest common divisior) ( HCF) (Highest Common Factor) of two or ... LCM (250 and 336) = 2⁴ × 5³ × 3¹× 7¹ =16 × 125 × 3× 7= 42000.

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Answer 2

Answer:

(a)250 and 336

LCM ok

Answer:Find the prime factorization of 336

336 = 2 × 2 × 2 × 2 × 3 × 7

Find the prime factorization of 250

250 = 2 × 5 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7

LCM = 42000

HCF ok

HCF = 2

(6) 125 and 400

LCM ok

Find the prime factorization of 125

Find the prime factorization of 125125 = 5 × 5 × 5

Find the prime factorization of 125125 = 5 × 5 × 5Find the prime factorization of 400

Find the prime factorization of 125125 = 5 × 5 × 5Find the prime factorization of 400400 = 2 × 2 × 2 × 2 × 5 × 5

Find the prime factorization of 125125 = 5 × 5 × 5Find the prime factorization of 400400 = 2 × 2 × 2 × 2 × 5 × 5Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

Find the prime factorization of 125125 = 5 × 5 × 5Find the prime factorization of 400400 = 2 × 2 × 2 × 2 × 5 × 5Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:LCM = 2 × 2 × 2 × 2 × 5 × 5 × 5

Find the prime factorization of 125125 = 5 × 5 × 5Find the prime factorization of 400400 = 2 × 2 × 2 × 2 × 5 × 5Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:LCM = 2 × 2 × 2 × 2 × 5 × 5 × 5LCM = 2000

HCF ok

HCF = 25