Question

Find HCF and LCM of 426 and 576 by prime factorization method and verify that LCM X HCF = product of the numbers.

please its urgent

Answer 1

Answer:

hello mate..

Step-by-step explanation:

2l426

3l213

71

★ Prime factor of 426 = 2 × 3 × 71

2l576

2l288

2l144

2l72

2l36

2l18

3l9

3

★ Prime factor of 576 = 2⁶ × 3²

Hence,

H.C.F ( 426,576 ) = 2 × 3 = 6

L.C.M ( 426,576 ) = 2⁶ × 3² × 71 = 64 × 9 × 71 = 40,896

Verify:

L.C.M × H.C.F = Product of two numbers

⇒ 6 × 40,896 = 426 × 576

⇒ 245,376 = 245,376

Therefore, L.HS = R.HS

verified.

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