Least Common Multiple of 760/297, 4204/2541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/297, 4204/2541 quickly i.e. 798760/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/297, 4204/2541 is 798760/33.

LCM(760/297, 4204/2541) = 798760/33

LCM of 760/297, 4204/2541

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 760/297,4204/2541

Given numbers are 760/297,4204/2541

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 760,4204

Least Common Multiple of Numerators i.e. LCM of 760,4204 is 798760.

GCF of Denominators means GCF of 297,2541 as per the given fractions.

GCF of 297,2541 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,4204

LCM of Fractions 760/297,4204/2541 is 798760/33

2 760, 4204
2 380, 2102
190, 1051

∴ So the LCM of the given numbers is 2 x 2 x 190 x 1051 = 798760

Least Common Multiple of 760,4204 with GCF Formula

Least Common Multiple of 760,4204 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 760,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,4204) = 4

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

GCF(760,4204) x common factors =4 x 1 = 4

LCM(760,4204) = ( 760 × 4204 ) / 4

LCM(760,4204) = 3195040 / 4

LCM(760,4204) = 798760


Lets's calculate GCF of 297,2541

3 297, 2541
11 99, 847
9, 77

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798760/33

Therefore the LCM of Fractions 760/297,4204/2541 is 798760/33

Greatest Common Factor of 297,2541 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,2541 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1,3,7,11,21,33,77,121,231,363,847,2541

Greatest Common Factor

We found the factors 297,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 297,2541 is 33.


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 760/297, 4204/2541

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 760/297, 4204/2541?

Answer: LCM of Numerators as per given numbers 760/297, 4204/2541 is

LCM of Numerators i.e. for 760,4204 is 798760

GCF of denominators i.e. for 297,2541 is 33.

Thus, LCM of Fractions is 798760/33.Finally, LCM of Fractions for 760/297, 4204/2541 is 798760/33.