Least Common Multiple of 131/40, 304/3514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/40, 304/3514 quickly i.e. 19912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/40, 304/3514 is 19912.

LCM(131/40, 304/3514) = 19912

LCM of 131/40, 304/3514

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 131/40,304/3514

Given numbers are 131/40,304/3514

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 131,304

Least Common Multiple of Numerators i.e. LCM of 131,304 is 39824.

GCF of Denominators means GCF of 40,3514 as per the given fractions.

GCF of 40,3514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,304

LCM of Fractions 131/40,304/3514 is 19912

Given numbers has no common factors except 1. So, there LCM is their product i.e 39824

Least Common Multiple of 131,304 with GCF Formula

Least Common Multiple of 131,304 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 131,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,304) = 1

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

GCF(131,304) x common factors =1 x 1 = 1

LCM(131,304) = ( 131 × 304 ) / 1

LCM(131,304) = 39824 / 1

LCM(131,304) = 39824


Lets's calculate GCF of 40,3514

2 40, 3514
20, 1757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39824/2

Therefore the LCM of Fractions 131/40,304/3514 is 19912

Greatest Common Factor of 40,3514 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,3514 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1,2,7,14,251,502,1757,3514

Greatest Common Factor

We found the factors 40,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3514 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 131/40, 304/3514

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 131/40, 304/3514?

Answer: LCM of Numerators as per given numbers 131/40, 304/3514 is

LCM of Numerators i.e. for 131,304 is 39824

GCF of denominators i.e. for 40,3514 is 2.

Thus, LCM of Fractions is 19912.Finally, LCM of Fractions for 131/40, 304/3514 is 19912.