Least Common Multiple of 260/12, 910/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/12, 910/349 quickly i.e. 1820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/12, 910/349 is 1820.

LCM(260/12, 910/349) = 1820

LCM of 260/12, 910/349

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 260/12,910/349

Given numbers are 260/12,910/349

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 260,910

Least Common Multiple of Numerators i.e. LCM of 260,910 is 1820.

GCF of Denominators means GCF of 12,349 as per the given fractions.

GCF of 12,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,910

LCM of Fractions 260/12,910/349 is 1820

2 260, 910
5 130, 455
13 26, 91
2, 7

∴ So the LCM of the given numbers is 2 x 5 x 13 x 2 x 7 = 1820

Least Common Multiple of 260,910 with GCF Formula

Least Common Multiple of 260,910 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 260,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,910) = 130

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

GCF(260,910) x common factors =130 x 1 = 130

LCM(260,910) = ( 260 × 910 ) / 130

LCM(260,910) = 236600 / 130

LCM(260,910) = 1820


Lets's calculate GCF of 12,349

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1820/1

Therefore the LCM of Fractions 260/12,910/349 is 1820

Greatest Common Factor of 12,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,349 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 12,349 . The biggest common factor number is the GCF number.
So the greatest common factor 12,349 is 1.


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 260/12, 910/349

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 260/12, 910/349?

Answer: LCM of Numerators as per given numbers 260/12, 910/349 is

LCM of Numerators i.e. for 260,910 is 1820

GCF of denominators i.e. for 12,349 is 1.

Thus, LCM of Fractions is 1820.Finally, LCM of Fractions for 260/12, 910/349 is 1820.