Least Common Multiple of 171/26, 7156/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/26, 7156/540 quickly i.e. 611838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/26, 7156/540 is 611838.

LCM(171/26, 7156/540) = 611838

LCM of 171/26, 7156/540

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 171/26,7156/540

Given numbers are 171/26,7156/540

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 171,7156

Least Common Multiple of Numerators i.e. LCM of 171,7156 is 1223676.

GCF of Denominators means GCF of 26,540 as per the given fractions.

GCF of 26,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,7156

LCM of Fractions 171/26,7156/540 is 611838

Given numbers has no common factors except 1. So, there LCM is their product i.e 1223676

Least Common Multiple of 171,7156 with GCF Formula

Least Common Multiple of 171,7156 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 171,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,7156) = 1

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

GCF(171,7156) x common factors =1 x 1 = 1

LCM(171,7156) = ( 171 × 7156 ) / 1

LCM(171,7156) = 1223676 / 1

LCM(171,7156) = 1223676


Lets's calculate GCF of 26,540

2 26, 540
13, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223676/2

Therefore the LCM of Fractions 171/26,7156/540 is 611838

Greatest Common Factor of 26,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,540 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 26,540 . The biggest common factor number is the GCF number.
So the greatest common factor 26,540 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 171/26, 7156/540

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 171/26, 7156/540?

Answer: LCM of Numerators as per given numbers 171/26, 7156/540 is

LCM of Numerators i.e. for 171,7156 is 1223676

GCF of denominators i.e. for 26,540 is 2.

Thus, LCM of Fractions is 611838.Finally, LCM of Fractions for 171/26, 7156/540 is 611838.