Least Common Multiple of 5292/495, 6758/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5292/495, 6758/131 quickly i.e. 17881668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5292/495, 6758/131 is 17881668.

LCM(5292/495, 6758/131) = 17881668

LCM of 5292/495, 6758/131

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 5292/495,6758/131

Given numbers are 5292/495,6758/131

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 5292,6758

Least Common Multiple of Numerators i.e. LCM of 5292,6758 is 17881668.

GCF of Denominators means GCF of 495,131 as per the given fractions.

GCF of 495,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5292,6758

LCM of Fractions 5292/495,6758/131 is 17881668

2 5292, 6758
2646, 3379

∴ So the LCM of the given numbers is 2 x 2646 x 3379 = 17881668

Least Common Multiple of 5292,6758 with GCF Formula

Least Common Multiple of 5292,6758 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 5292,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5292,6758) = 2

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

GCF(5292,6758) x common factors =2 x 1 = 2

LCM(5292,6758) = ( 5292 × 6758 ) / 2

LCM(5292,6758) = 35763336 / 2

LCM(5292,6758) = 17881668


Lets's calculate GCF of 495,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17881668/1

Therefore the LCM of Fractions 5292/495,6758/131 is 17881668

Greatest Common Factor of 495,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,131 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 495,131 . The biggest common factor number is the GCF number.
So the greatest common factor 495,131 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 5292/495, 6758/131

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 5292/495, 6758/131?

Answer: LCM of Numerators as per given numbers 5292/495, 6758/131 is

LCM of Numerators i.e. for 5292,6758 is 17881668

GCF of denominators i.e. for 495,131 is 1.

Thus, LCM of Fractions is 17881668.Finally, LCM of Fractions for 5292/495, 6758/131 is 17881668.