Least Common Multiple of 31/120, 80/824, 788/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/120, 80/824, 788/260 quickly i.e. 122140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/120, 80/824, 788/260 is 122140.

LCM(31/120, 80/824, 788/260) = 122140

LCM of 31/120, 80/824, 788/260

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 31/120,80/824,788/260

Given numbers are 31/120,80/824,788/260

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 31,80,788

Least Common Multiple of Numerators i.e. LCM of 31,80,788 is 488560.

GCF of Denominators means GCF of 120,824,260 as per the given fractions.

GCF of 120,824,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,80,788

LCM of Fractions 31/120,80/824,788/260 is 122140

2 31, 80, 788
2 31, 40, 394
31, 20, 197

∴ So the LCM of the given numbers is 2 x 2 x 31 x 20 x 197 = 488560

Least Common Multiple of 31,80,788 with GCF Formula

Least Common Multiple of 31,80,788 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 31,80,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,80,788) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,80,788) x common factors =1 x 4 = 4

LCM(31,80,788) = ( 31 × 80 × 788 ) / 4

LCM(31,80,788) = 1954240 / 4

LCM(31,80,788) = 488560


Lets's calculate GCF of 120,824,260

2 120, 824, 260
2 60, 412, 130
30, 206, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488560/4

Therefore the LCM of Fractions 31/120,80/824,788/260 is 122140

Greatest Common Factor of 120,824,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,824,260 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

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 120,824,260 . The biggest common factor number is the GCF number.
So the greatest common factor 120,824,260 is 4.


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 31/120, 80/824, 788/260

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 31/120, 80/824, 788/260?

Answer: LCM of Numerators as per given numbers 31/120, 80/824, 788/260 is

LCM of Numerators i.e. for 31,80,788 is 488560

GCF of denominators i.e. for 120,824,260 is 4.

Thus, LCM of Fractions is 122140.Finally, LCM of Fractions for 31/120, 80/824, 788/260 is 122140.