Least Common Multiple of 260/82, 402/7394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 260/82, 402/7394 quickly i.e. 26130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/82, 402/7394 is 26130.

LCM(260/82, 402/7394) = 26130

LCM of 260/82, 402/7394

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 260/82,402/7394

Given numbers are 260/82,402/7394

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 260,402

Least Common Multiple of Numerators i.e. LCM of 260,402 is 52260.

GCF of Denominators means GCF of 82,7394 as per the given fractions.

GCF of 82,7394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,402

LCM of Fractions 260/82,402/7394 is 26130

2 260, 402
130, 201

∴ So the LCM of the given numbers is 2 x 130 x 201 = 52260

Least Common Multiple of 260,402 with GCF Formula

Least Common Multiple of 260,402 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 260,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,402) = 2

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

GCF(260,402) x common factors =2 x 1 = 2

LCM(260,402) = ( 260 × 402 ) / 2

LCM(260,402) = 104520 / 2

LCM(260,402) = 52260


Lets's calculate GCF of 82,7394

2 82, 7394
41, 3697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52260/2

Therefore the LCM of Fractions 260/82,402/7394 is 26130

Greatest Common Factor of 82,7394 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,7394 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1,2,3697,7394

Greatest Common Factor

We found the factors 82,7394 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7394 is 2.


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 260/82, 402/7394

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 260/82, 402/7394?

Answer: LCM of Numerators as per given numbers 260/82, 402/7394 is

LCM of Numerators i.e. for 260,402 is 52260

GCF of denominators i.e. for 82,7394 is 2.

Thus, LCM of Fractions is 26130.Finally, LCM of Fractions for 260/82, 402/7394 is 26130.