Math, asked by bsara6597, 22 hours ago

. Verify that HCF of 10, 15 and 20 is a factor of LCM of the same numbers.​

Answers

Answered by shawyash28
0

Answer:

10. 1, 2, 10

15. 1, 3, 15

20. 1, 2, 4, 5, 20.

Answered by kanishksharma1234567
1

Question:

Verify that HCF of 10, 15 and 20 is a factor of LCM of the same numbers.​

Step-by-step explanation:

10 can be written as 2 x 5.

15 can be written as 3 x 5.

And 20 as can be written as 2 x 2 x 5.

The HCF (Highest Common Factor) is 5.

The LCM (Least Common Divisor) of 10, 15, and 20 is

2 | 5,15,10

5 | 1, 3,  2

3 | 1, 1,   2

2 | 1, 1,   1

2 x 5 x 3 x 2 = 60

We can now say that the HCF (5) is also the factor of LCM, as 5 is a factor of 60.

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Hope it helps!

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