Question

1) The HCF x LCM for the numbers 50 and 20 is ...​

Answer 1

LCM of 50 and 20 is 100

HCF of 50 and 20 is 10

Solution:

Given that the numbers are 50 and 20

Find least common multiple

LCM of 50 and 20

List all prime factors for each number

Prime Factorization of 20 is: 2 x 2 x 5

Prime Factorization of 50 is: 2 x 5 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, 5, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 5 x 5 = 100

Thus LCM of 50 and 20 is 100

Find Highest common factor of 50 and 20

HCF of 50 and 20

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

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 10

Now HCF×LCM

SO = 10×100

Ans..1000

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