Least Common Multiple of 300/291, 7082/1359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/291, 7082/1359 quickly i.e. 354100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/291, 7082/1359 is 354100.

LCM(300/291, 7082/1359) = 354100

LCM of 300/291, 7082/1359

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 300/291,7082/1359

Given numbers are 300/291,7082/1359

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 300,7082

Least Common Multiple of Numerators i.e. LCM of 300,7082 is 1062300.

GCF of Denominators means GCF of 291,1359 as per the given fractions.

GCF of 291,1359 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,7082

LCM of Fractions 300/291,7082/1359 is 354100

2 300, 7082
150, 3541

∴ So the LCM of the given numbers is 2 x 150 x 3541 = 1062300

Least Common Multiple of 300,7082 with GCF Formula

Least Common Multiple of 300,7082 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 300,7082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,7082) = 2

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

GCF(300,7082) x common factors =2 x 1 = 2

LCM(300,7082) = ( 300 × 7082 ) / 2

LCM(300,7082) = 2124600 / 2

LCM(300,7082) = 1062300


Lets's calculate GCF of 291,1359

3 291, 1359
97, 453

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1062300/3

Therefore the LCM of Fractions 300/291,7082/1359 is 354100

Greatest Common Factor of 291,1359 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,1359 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 1359

List of positive integer factors of 1359 that divides 1359 without a remainder.

1,3,9,151,453,1359

Greatest Common Factor

We found the factors 291,1359 . The biggest common factor number is the GCF number.
So the greatest common factor 291,1359 is 3.


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 300/291, 7082/1359

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 300/291, 7082/1359?

Answer: LCM of Numerators as per given numbers 300/291, 7082/1359 is

LCM of Numerators i.e. for 300,7082 is 1062300

GCF of denominators i.e. for 291,1359 is 3.

Thus, LCM of Fractions is 354100.Finally, LCM of Fractions for 300/291, 7082/1359 is 354100.