Least Common Multiple of 2649/538, 1304/9613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2649/538, 1304/9613 quickly i.e. 3454296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2649/538, 1304/9613 is 3454296.

LCM(2649/538, 1304/9613) = 3454296

LCM of 2649/538, 1304/9613

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 2649/538,1304/9613

Given numbers are 2649/538,1304/9613

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 2649,1304

Least Common Multiple of Numerators i.e. LCM of 2649,1304 is 3454296.

GCF of Denominators means GCF of 538,9613 as per the given fractions.

GCF of 538,9613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2649,1304

LCM of Fractions 2649/538,1304/9613 is 3454296

Given numbers has no common factors except 1. So, there LCM is their product i.e 3454296

Least Common Multiple of 2649,1304 with GCF Formula

Least Common Multiple of 2649,1304 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 2649,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2649,1304) = 1

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

GCF(2649,1304) x common factors =1 x 1 = 1

LCM(2649,1304) = ( 2649 × 1304 ) / 1

LCM(2649,1304) = 3454296 / 1

LCM(2649,1304) = 3454296


Lets's calculate GCF of 538,9613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3454296/1

Therefore the LCM of Fractions 2649/538,1304/9613 is 3454296

Greatest Common Factor of 538,9613 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,9613 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 9613

List of positive integer factors of 9613 that divides 9613 without a remainder.

1,9613

Greatest Common Factor

We found the factors 538,9613 . The biggest common factor number is the GCF number.
So the greatest common factor 538,9613 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 2649/538, 1304/9613

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 2649/538, 1304/9613?

Answer: LCM of Numerators as per given numbers 2649/538, 1304/9613 is

LCM of Numerators i.e. for 2649,1304 is 3454296

GCF of denominators i.e. for 538,9613 is 1.

Thus, LCM of Fractions is 3454296.Finally, LCM of Fractions for 2649/538, 1304/9613 is 3454296.