Least Common Multiple of 31/860, 4536/2082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/860, 4536/2082 quickly i.e. 70308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/860, 4536/2082 is 70308.

LCM(31/860, 4536/2082) = 70308

LCM of 31/860, 4536/2082

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 31/860,4536/2082

Given numbers are 31/860,4536/2082

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 31,4536

Least Common Multiple of Numerators i.e. LCM of 31,4536 is 140616.

GCF of Denominators means GCF of 860,2082 as per the given fractions.

GCF of 860,2082 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,4536

LCM of Fractions 31/860,4536/2082 is 70308

Given numbers has no common factors except 1. So, there LCM is their product i.e 140616

Least Common Multiple of 31,4536 with GCF Formula

Least Common Multiple of 31,4536 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 31,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,4536) = 1

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

GCF(31,4536) x common factors =1 x 1 = 1

LCM(31,4536) = ( 31 × 4536 ) / 1

LCM(31,4536) = 140616 / 1

LCM(31,4536) = 140616


Lets's calculate GCF of 860,2082

2 860, 2082
430, 1041

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140616/2

Therefore the LCM of Fractions 31/860,4536/2082 is 70308

Greatest Common Factor of 860,2082 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,2082 By Matching Biggest Common Factor Method

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

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 860,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 860,2082 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 31/860, 4536/2082

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 31/860, 4536/2082?

Answer: LCM of Numerators as per given numbers 31/860, 4536/2082 is

LCM of Numerators i.e. for 31,4536 is 140616

GCF of denominators i.e. for 860,2082 is 2.

Thus, LCM of Fractions is 70308.Finally, LCM of Fractions for 31/860, 4536/2082 is 70308.