Question

find the HCF of 525 and 1120 by the prime factorization method then find their LCM using the reaction formula​

Answer 1

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525 = 5 x 5 x 3 x 7 x 1

1120 = 5 x 2 x 2 x 2 x 2 x 2 x 7 x 1

HCF = 5 x 7 x 1 = 35

LCM = ?

• RELATION :-

hcf x lcm = Product of two numbers

35 x LCM = 525 x 1120

LCM = $\frac{588000}{35}$

LCM = $\frac{117600}{7}$

LCM = 16800

Answer 2

Given : Numbers 525  and 1120

To Find : HCF  by the prime factorisation method

their LCM using the relation formula.

Solution:

525   = 3 * 5 * 5  * 7

1120   = 2 * 2 * 2 * 2 * 2 * 5 * 7

HCF = 5 * 7

=> HCF = 35

LCM * HCF  = 525 * 1120

=> LCM * 35  =   525 * 1120

=> LCM = 15 * 1120

=> LCM = 16800

HCF = 35 ,  LCM = 16800

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