Least Common Multiple of 2362/316, 3922/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2362/316, 3922/260 quickly i.e. 4631882/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2362/316, 3922/260 is 4631882/4.

LCM(2362/316, 3922/260) = 4631882/4

LCM of 2362/316, 3922/260

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 2362/316,3922/260

Given numbers are 2362/316,3922/260

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 2362,3922

Least Common Multiple of Numerators i.e. LCM of 2362,3922 is 4631882.

GCF of Denominators means GCF of 316,260 as per the given fractions.

GCF of 316,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2362,3922

LCM of Fractions 2362/316,3922/260 is 4631882/4

2 2362, 3922
1181, 1961

∴ So the LCM of the given numbers is 2 x 1181 x 1961 = 4631882

Least Common Multiple of 2362,3922 with GCF Formula

Least Common Multiple of 2362,3922 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 2362,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2362,3922) = 2

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

GCF(2362,3922) x common factors =2 x 1 = 2

LCM(2362,3922) = ( 2362 × 3922 ) / 2

LCM(2362,3922) = 9263764 / 2

LCM(2362,3922) = 4631882


Lets's calculate GCF of 316,260

2 316, 260
2 158, 130
79, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4631882/4

Therefore the LCM of Fractions 2362/316,3922/260 is 4631882/4

Greatest Common Factor of 316,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,260 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

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

Greatest Common Factor

We found the factors 316,260 . The biggest common factor number is the GCF number.
So the greatest common factor 316,260 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2362/316, 3922/260

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 2362/316, 3922/260?

Answer: LCM of Numerators as per given numbers 2362/316, 3922/260 is

LCM of Numerators i.e. for 2362,3922 is 4631882

GCF of denominators i.e. for 316,260 is 4.

Thus, LCM of Fractions is 4631882/4.Finally, LCM of Fractions for 2362/316, 3922/260 is 4631882/4.