Least Common Multiple of 308/135, 7361/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/135, 7361/861 quickly i.e. 2267188/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/135, 7361/861 is 2267188/3.

LCM(308/135, 7361/861) = 2267188/3

LCM of 308/135, 7361/861

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 308/135,7361/861

Given numbers are 308/135,7361/861

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 308,7361

Least Common Multiple of Numerators i.e. LCM of 308,7361 is 2267188.

GCF of Denominators means GCF of 135,861 as per the given fractions.

GCF of 135,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,7361

LCM of Fractions 308/135,7361/861 is 2267188/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2267188

Least Common Multiple of 308,7361 with GCF Formula

Least Common Multiple of 308,7361 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 308,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,7361) = 1

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

GCF(308,7361) x common factors =1 x 1 = 1

LCM(308,7361) = ( 308 × 7361 ) / 1

LCM(308,7361) = 2267188 / 1

LCM(308,7361) = 2267188


Lets's calculate GCF of 135,861

3 135, 861
45, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2267188/3

Therefore the LCM of Fractions 308/135,7361/861 is 2267188/3

Greatest Common Factor of 135,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,861 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 135,861 . The biggest common factor number is the GCF number.
So the greatest common factor 135,861 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 308/135, 7361/861

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 308/135, 7361/861?

Answer: LCM of Numerators as per given numbers 308/135, 7361/861 is

LCM of Numerators i.e. for 308,7361 is 2267188

GCF of denominators i.e. for 135,861 is 3.

Thus, LCM of Fractions is 2267188/3.Finally, LCM of Fractions for 308/135, 7361/861 is 2267188/3.