Least Common Multiple of 76/304, 7361/2158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/304, 7361/2158 quickly i.e. 279718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/304, 7361/2158 is 279718.

LCM(76/304, 7361/2158) = 279718

LCM of 76/304, 7361/2158

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 76/304,7361/2158

Given numbers are 76/304,7361/2158

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 76,7361

Least Common Multiple of Numerators i.e. LCM of 76,7361 is 559436.

GCF of Denominators means GCF of 304,2158 as per the given fractions.

GCF of 304,2158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,7361

LCM of Fractions 76/304,7361/2158 is 279718

Given numbers has no common factors except 1. So, there LCM is their product i.e 559436

Least Common Multiple of 76,7361 with GCF Formula

Least Common Multiple of 76,7361 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 76,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,7361) = 1

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

GCF(76,7361) x common factors =1 x 1 = 1

LCM(76,7361) = ( 76 × 7361 ) / 1

LCM(76,7361) = 559436 / 1

LCM(76,7361) = 559436


Lets's calculate GCF of 304,2158

2 304, 2158
152, 1079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559436/2

Therefore the LCM of Fractions 76/304,7361/2158 is 279718

Greatest Common Factor of 304,2158 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,2158 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 2158

List of positive integer factors of 2158 that divides 2158 without a remainder.

1,2,13,26,83,166,1079,2158

Greatest Common Factor

We found the factors 304,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 304,2158 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 76/304, 7361/2158

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 76/304, 7361/2158?

Answer: LCM of Numerators as per given numbers 76/304, 7361/2158 is

LCM of Numerators i.e. for 76,7361 is 559436

GCF of denominators i.e. for 304,2158 is 2.

Thus, LCM of Fractions is 279718.Finally, LCM of Fractions for 76/304, 7361/2158 is 279718.