Least Common Multiple of 31/828, 389/195, 825/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/828, 389/195, 825/860 quickly i.e. 9948675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/828, 389/195, 825/860 is 9948675.

LCM(31/828, 389/195, 825/860) = 9948675

LCM of 31/828, 389/195, 825/860

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 31/828,389/195,825/860

Given numbers are 31/828,389/195,825/860

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 31,389,825

Least Common Multiple of Numerators i.e. LCM of 31,389,825 is 9948675.

GCF of Denominators means GCF of 828,195,860 as per the given fractions.

GCF of 828,195,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,389,825

LCM of Fractions 31/828,389/195,825/860 is 9948675

Given numbers has no common factors except 1. So, there LCM is their product i.e 9948675

Least Common Multiple of 31,389,825 with GCF Formula

Least Common Multiple of 31,389,825 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 31,389,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,389,825) = 1

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

GCF(31,389,825) x common factors =1 x 1 = 1

LCM(31,389,825) = ( 31 × 389 × 825 ) / 1

LCM(31,389,825) = 9948675 / 1

LCM(31,389,825) = 9948675


Lets's calculate GCF of 828,195,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9948675/1

Therefore the LCM of Fractions 31/828,389/195,825/860 is 9948675

Greatest Common Factor of 828,195,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,195,860 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 828,195,860 . The biggest common factor number is the GCF number.
So the greatest common factor 828,195,860 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 31/828, 389/195, 825/860

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 31/828, 389/195, 825/860?

Answer: LCM of Numerators as per given numbers 31/828, 389/195, 825/860 is

LCM of Numerators i.e. for 31,389,825 is 9948675

GCF of denominators i.e. for 828,195,860 is 1.

Thus, LCM of Fractions is 9948675.Finally, LCM of Fractions for 31/828, 389/195, 825/860 is 9948675.