Question

Find the ratio between hcf and lcm of 10 ,15 ,20

Answer 1

Answer:

10-15= 5

Step-by-step explanation:

therefore ratio between hcf is 5cm

Answer 2

The ratio between hcf and lcm of 10 ,15 ,20 is 1 : 12

Solution:

Find LCM of 10, 15, 20

List all prime factors for each number.

Prime Factorization of 10 is:  2 x 5  

Prime Factorization of 15 is:  3 x 5  

Prime Factorization of 20 is:  2 x 2 x 5  

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 = 60

Find HCF of 10, 15, 20

The factors of 10 are: 1, 2, 5, 10

The factors of 15 are: 1, 3, 5, 15

The factors of 20 are: 1, 2, 4, 5, 10, 20  

Then the greatest common factor is 5

Find the ratio between hcf and lcm

HCF : LCM = 5 : 60

Reduce to lowest term

HCF : LCM = 1 : 12

Thus ratio between hcf and lcm of 10 ,15 ,20 is 1 : 12

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