Least Common Multiple of 321/131, 3103/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/131, 3103/646 quickly i.e. 9309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/131, 3103/646 is 9309.

LCM(321/131, 3103/646) = 9309

LCM of 321/131, 3103/646

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 321/131,3103/646

Given numbers are 321/131,3103/646

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 321,3103

Least Common Multiple of Numerators i.e. LCM of 321,3103 is 9309.

GCF of Denominators means GCF of 131,646 as per the given fractions.

GCF of 131,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,3103

LCM of Fractions 321/131,3103/646 is 9309

107 321, 3103
3, 29

∴ So the LCM of the given numbers is 107 x 3 x 29 = 9309

Least Common Multiple of 321,3103 with GCF Formula

Least Common Multiple of 321,3103 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 321,3103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,3103) = 107

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

GCF(321,3103) x common factors =107 x 1 = 107

LCM(321,3103) = ( 321 × 3103 ) / 107

LCM(321,3103) = 996063 / 107

LCM(321,3103) = 9309


Lets's calculate GCF of 131,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9309/1

Therefore the LCM of Fractions 321/131,3103/646 is 9309

Greatest Common Factor of 131,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,646 By Matching Biggest Common Factor Method

Factors of 131

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

1,131

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 131,646 . The biggest common factor number is the GCF number.
So the greatest common factor 131,646 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 321/131, 3103/646

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 321/131, 3103/646?

Answer: LCM of Numerators as per given numbers 321/131, 3103/646 is

LCM of Numerators i.e. for 321,3103 is 9309

GCF of denominators i.e. for 131,646 is 1.

Thus, LCM of Fractions is 9309.Finally, LCM of Fractions for 321/131, 3103/646 is 9309.