Least Common Multiple of 312/260, 118/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/260, 118/578 quickly i.e. 9204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/260, 118/578 is 9204.

LCM(312/260, 118/578) = 9204

LCM of 312/260, 118/578

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 312/260,118/578

Given numbers are 312/260,118/578

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 312,118

Least Common Multiple of Numerators i.e. LCM of 312,118 is 18408.

GCF of Denominators means GCF of 260,578 as per the given fractions.

GCF of 260,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,118

LCM of Fractions 312/260,118/578 is 9204

2 312, 118
156, 59

∴ So the LCM of the given numbers is 2 x 156 x 59 = 18408

Least Common Multiple of 312,118 with GCF Formula

Least Common Multiple of 312,118 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 312,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,118) = 2

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

GCF(312,118) x common factors =2 x 1 = 2

LCM(312,118) = ( 312 × 118 ) / 2

LCM(312,118) = 36816 / 2

LCM(312,118) = 18408


Lets's calculate GCF of 260,578

2 260, 578
130, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18408/2

Therefore the LCM of Fractions 312/260,118/578 is 9204

Greatest Common Factor of 260,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,578 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 260,578 . The biggest common factor number is the GCF number.
So the greatest common factor 260,578 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 312/260, 118/578

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 312/260, 118/578?

Answer: LCM of Numerators as per given numbers 312/260, 118/578 is

LCM of Numerators i.e. for 312,118 is 18408

GCF of denominators i.e. for 260,578 is 2.

Thus, LCM of Fractions is 9204.Finally, LCM of Fractions for 312/260, 118/578 is 9204.