Least Common Multiple of 132/26, 541/39, 140/47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 132/26, 541/39, 140/47 quickly i.e. 2499420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/26, 541/39, 140/47 is 2499420.

LCM(132/26, 541/39, 140/47) = 2499420

LCM of 132/26, 541/39, 140/47

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 132/26,541/39,140/47

Given numbers are 132/26,541/39,140/47

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 132,541,140

Least Common Multiple of Numerators i.e. LCM of 132,541,140 is 2499420.

GCF of Denominators means GCF of 26,39,47 as per the given fractions.

GCF of 26,39,47 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,541,140

LCM of Fractions 132/26,541/39,140/47 is 2499420

2 132, 541, 140
2 66, 541, 70
33, 541, 35

∴ So the LCM of the given numbers is 2 x 2 x 33 x 541 x 35 = 2499420

Least Common Multiple of 132,541,140 with GCF Formula

Least Common Multiple of 132,541,140 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 132,541,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,541,140) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(132,541,140) x common factors =1 x 4 = 4

LCM(132,541,140) = ( 132 × 541 × 140 ) / 4

LCM(132,541,140) = 9997680 / 4

LCM(132,541,140) = 2499420


Lets's calculate GCF of 26,39,47

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2499420/1

Therefore the LCM of Fractions 132/26,541/39,140/47 is 2499420

Greatest Common Factor of 26,39,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,39,47 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 26,39,47 . The biggest common factor number is the GCF number.
So the greatest common factor 26,39,47 is 1.


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 132/26, 541/39, 140/47

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 132/26, 541/39, 140/47?

Answer: LCM of Numerators as per given numbers 132/26, 541/39, 140/47 is

LCM of Numerators i.e. for 132,541,140 is 2499420

GCF of denominators i.e. for 26,39,47 is 1.

Thus, LCM of Fractions is 2499420.Finally, LCM of Fractions for 132/26, 541/39, 140/47 is 2499420.