Least Common Multiple of 31/48, 260/20, 310/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/48, 260/20, 310/523 quickly i.e. 8060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/48, 260/20, 310/523 is 8060.

LCM(31/48, 260/20, 310/523) = 8060

LCM of 31/48, 260/20, 310/523

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 31/48,260/20,310/523

Given numbers are 31/48,260/20,310/523

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 31,260,310

Least Common Multiple of Numerators i.e. LCM of 31,260,310 is 8060.

GCF of Denominators means GCF of 48,20,523 as per the given fractions.

GCF of 48,20,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,260,310

LCM of Fractions 31/48,260/20,310/523 is 8060

2 31, 260, 310
5 31, 130, 155
31 31, 26, 31
1, 26, 1

∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 26 x 1 = 8060

Least Common Multiple of 31,260,310 with GCF Formula

Least Common Multiple of 31,260,310 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 31,260,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,260,310) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(31,260,310) x common factors =1 x 310 = 310

LCM(31,260,310) = ( 31 × 260 × 310 ) / 310

LCM(31,260,310) = 2498600 / 310

LCM(31,260,310) = 8060


Lets's calculate GCF of 48,20,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8060/1

Therefore the LCM of Fractions 31/48,260/20,310/523 is 8060

Greatest Common Factor of 48,20,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,20,523 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 48,20,523 . The biggest common factor number is the GCF number.
So the greatest common factor 48,20,523 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 31/48, 260/20, 310/523

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 31/48, 260/20, 310/523?

Answer: LCM of Numerators as per given numbers 31/48, 260/20, 310/523 is

LCM of Numerators i.e. for 31,260,310 is 8060

GCF of denominators i.e. for 48,20,523 is 1.

Thus, LCM of Fractions is 8060.Finally, LCM of Fractions for 31/48, 260/20, 310/523 is 8060.