Least Common Multiple of 296/80, 131/4654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/80, 131/4654 quickly i.e. 19388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/80, 131/4654 is 19388.

LCM(296/80, 131/4654) = 19388

LCM of 296/80, 131/4654

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 296/80,131/4654

Given numbers are 296/80,131/4654

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 296,131

Least Common Multiple of Numerators i.e. LCM of 296,131 is 38776.

GCF of Denominators means GCF of 80,4654 as per the given fractions.

GCF of 80,4654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,131

LCM of Fractions 296/80,131/4654 is 19388

Given numbers has no common factors except 1. So, there LCM is their product i.e 38776

Least Common Multiple of 296,131 with GCF Formula

Least Common Multiple of 296,131 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 296,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,131) = 1

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

GCF(296,131) x common factors =1 x 1 = 1

LCM(296,131) = ( 296 × 131 ) / 1

LCM(296,131) = 38776 / 1

LCM(296,131) = 38776


Lets's calculate GCF of 80,4654

2 80, 4654
40, 2327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38776/2

Therefore the LCM of Fractions 296/80,131/4654 is 19388

Greatest Common Factor of 80,4654 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,4654 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 80,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 80,4654 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 296/80, 131/4654

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 296/80, 131/4654?

Answer: LCM of Numerators as per given numbers 296/80, 131/4654 is

LCM of Numerators i.e. for 296,131 is 38776

GCF of denominators i.e. for 80,4654 is 2.

Thus, LCM of Fractions is 19388.Finally, LCM of Fractions for 296/80, 131/4654 is 19388.