. Verify that HCF of 10, 15 and 20 is a factor of LCM of the same numbers.
Answers
Answered by
0
Answer:
10. 1, 2, 10
15. 1, 3, 15
20. 1, 2, 4, 5, 20.
Answered by
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.
-------------------------
Hope it helps!
Similar questions