Least Common Multiple of 10/42, 20/12, 81/28, 24/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/42, 20/12, 81/28, 24/156 quickly i.e. 1620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/42, 20/12, 81/28, 24/156 is 1620.

LCM(10/42, 20/12, 81/28, 24/156) = 1620

LCM of 10/42, 20/12, 81/28, 24/156

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 10/42,20/12,81/28,24/156

Given numbers are 10/42,20/12,81/28,24/156

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 10,20,81,24

Least Common Multiple of Numerators i.e. LCM of 10,20,81,24 is 3240.

GCF of Denominators means GCF of 42,12,28,156 as per the given fractions.

GCF of 42,12,28,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,20,81,24

LCM of Fractions 10/42,20/12,81/28,24/156 is 1620

2 10, 20, 81, 24
2 5, 10, 81, 12
3 5, 5, 81, 6
5 5, 5, 27, 2
1, 1, 27, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 27 x 2 = 3240

Least Common Multiple of 10,20,81,24 with GCF Formula

Least Common Multiple of 10,20,81,24 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 10,20,81,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,20,81,24) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(10,20,81,24) x common factors =1 x 120 = 120

LCM(10,20,81,24) = ( 10 × 20 × 81 × 24 ) / 120

LCM(10,20,81,24) = 388800 / 120

LCM(10,20,81,24) = 3240


Lets's calculate GCF of 42,12,28,156

2 42, 12, 28, 156
21, 6, 14, 78

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/2

Therefore the LCM of Fractions 10/42,20/12,81/28,24/156 is 1620

Greatest Common Factor of 42,12,28,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,12,28,156 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 42,12,28,156 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,28,156 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 10/42, 20/12, 81/28, 24/156

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 10/42, 20/12, 81/28, 24/156?

Answer: LCM of Numerators as per given numbers 10/42, 20/12, 81/28, 24/156 is

LCM of Numerators i.e. for 10,20,81,24 is 3240

GCF of denominators i.e. for 42,12,28,156 is 2.

Thus, LCM of Fractions is 1620.Finally, LCM of Fractions for 10/42, 20/12, 81/28, 24/156 is 1620.