Least Common Multiple of 231/360, 2760/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/360, 2760/262 quickly i.e. 106260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/360, 2760/262 is 106260.

LCM(231/360, 2760/262) = 106260

LCM of 231/360, 2760/262

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 231/360,2760/262

Given numbers are 231/360,2760/262

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 231,2760

Least Common Multiple of Numerators i.e. LCM of 231,2760 is 212520.

GCF of Denominators means GCF of 360,262 as per the given fractions.

GCF of 360,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,2760

LCM of Fractions 231/360,2760/262 is 106260

3 231, 2760
77, 920

∴ So the LCM of the given numbers is 3 x 77 x 920 = 212520

Least Common Multiple of 231,2760 with GCF Formula

Least Common Multiple of 231,2760 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 231,2760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,2760) = 3

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

GCF(231,2760) x common factors =3 x 1 = 3

LCM(231,2760) = ( 231 × 2760 ) / 3

LCM(231,2760) = 637560 / 3

LCM(231,2760) = 212520


Lets's calculate GCF of 360,262

2 360, 262
180, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212520/2

Therefore the LCM of Fractions 231/360,2760/262 is 106260

Greatest Common Factor of 360,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,262 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 360,262 . The biggest common factor number is the GCF number.
So the greatest common factor 360,262 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 231/360, 2760/262

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 231/360, 2760/262?

Answer: LCM of Numerators as per given numbers 231/360, 2760/262 is

LCM of Numerators i.e. for 231,2760 is 212520

GCF of denominators i.e. for 360,262 is 2.

Thus, LCM of Fractions is 106260.Finally, LCM of Fractions for 231/360, 2760/262 is 106260.