Question

Find the lowest common multiple of the given numbers, the given numbers are: 20,40 and 50.

Answer 1

Hint: Lowest common multiple, can be obtained by factoring the numbers and then pairing the common factors, the product of the paired factors along with other unpaired factors will be the lowest common multiple of the given numbers.

Complete step-by-step solution:
Here we need to find the lowest common multiple in the given question, in order to find the result we will first do factorization here with every number and then pair the common factors, the product of the paired factors and the unpaired factors will give the lowest common multiple for the given numbers:
$ \Rightarrow 20 = 2 \times 2 \times 5 $
$ \Rightarrow 40 = 2 \times 2 \times 2 \times 5 $
$ \Rightarrow 50 = 2 \times 5 \times 5 $
Paired factors are 2,5
And unpaired are 2,2,5
Required answer:
$ \Rightarrow 2 \times 2 \times 2 \times 5 \times 5 = 200 $
Hence the lowest common multiple of the given numbers is two hundred.

Note: In order to get the lowest common multiple we need to go with the factorization and then pairing rule, otherwise we need to do the long division method that is dividing all the three numbers at the same time and then product of the coefficient will give the LCM.