Question

find the HCF and the LCM of the following number and verify that the product of numbers = HCF × LCM 576, 720​

Answer 1

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Brainly.in

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Secondary School Math 5 points

Find the H:C:F and L:C:M of 576 and 720

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Answers

dubey1881 Expert

Answer:

Step-by-step explanation:

The lcm of 576 and 720 is 2880.

Steps to find LCM

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Find the prime factorization of 720

720 = 2 × 2 × 2 × 2 × 3 × 3 × 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 × 2 × 2 × 3 × 3 × 5

LCM = 2880

The hcf of 576 and 720 is 144.

Steps to find HCF

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Find the prime factorization of 720

720 = 2 × 2 × 2 × 2 × 3 × 3 × 5

To find the hcf, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 2 × 2 × 2 × 3 × 3

HCF = 144

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