Least Common Multiple of 5231/156, 6186/2106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5231/156, 6186/2106 quickly i.e. 32358966/78 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5231/156, 6186/2106 is 32358966/78.

LCM(5231/156, 6186/2106) = 32358966/78

LCM of 5231/156, 6186/2106

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 5231/156,6186/2106

Given numbers are 5231/156,6186/2106

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 5231,6186

Least Common Multiple of Numerators i.e. LCM of 5231,6186 is 32358966.

GCF of Denominators means GCF of 156,2106 as per the given fractions.

GCF of 156,2106 is 78 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5231,6186

LCM of Fractions 5231/156,6186/2106 is 32358966/78

Given numbers has no common factors except 1. So, there LCM is their product i.e 32358966

Least Common Multiple of 5231,6186 with GCF Formula

Least Common Multiple of 5231,6186 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 5231,6186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5231,6186) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5231,6186) x common factors =1 x 1 = 1

LCM(5231,6186) = ( 5231 × 6186 ) / 1

LCM(5231,6186) = 32358966 / 1

LCM(5231,6186) = 32358966


Lets's calculate GCF of 156,2106

2 156, 2106
3 78, 1053
13 26, 351
2, 27

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32358966/78

Therefore the LCM of Fractions 5231/156,6186/2106 is 32358966/78

Greatest Common Factor of 156,2106 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,2106 By Matching Biggest Common Factor Method

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

Factors of 2106

List of positive integer factors of 2106 that divides 2106 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106

Greatest Common Factor

We found the factors 156,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 156,2106 is 78.


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 5231/156, 6186/2106

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 5231/156, 6186/2106?

Answer: LCM of Numerators as per given numbers 5231/156, 6186/2106 is

LCM of Numerators i.e. for 5231,6186 is 32358966

GCF of denominators i.e. for 156,2106 is 78.

Thus, LCM of Fractions is 32358966/78.Finally, LCM of Fractions for 5231/156, 6186/2106 is 32358966/78.