Least Common Multiple of 31/836, 1872/7582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/836, 1872/7582 quickly i.e. 29016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/836, 1872/7582 is 29016.

LCM(31/836, 1872/7582) = 29016

LCM of 31/836, 1872/7582

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 31/836,1872/7582

Given numbers are 31/836,1872/7582

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 31,1872

Least Common Multiple of Numerators i.e. LCM of 31,1872 is 58032.

GCF of Denominators means GCF of 836,7582 as per the given fractions.

GCF of 836,7582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,1872

LCM of Fractions 31/836,1872/7582 is 29016

Given numbers has no common factors except 1. So, there LCM is their product i.e 58032

Least Common Multiple of 31,1872 with GCF Formula

Least Common Multiple of 31,1872 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 31,1872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,1872) = 1

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

GCF(31,1872) x common factors =1 x 1 = 1

LCM(31,1872) = ( 31 × 1872 ) / 1

LCM(31,1872) = 58032 / 1

LCM(31,1872) = 58032


Lets's calculate GCF of 836,7582

2 836, 7582
418, 3791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58032/2

Therefore the LCM of Fractions 31/836,1872/7582 is 29016

Greatest Common Factor of 836,7582 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,7582 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 836,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 836,7582 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 31/836, 1872/7582

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 31/836, 1872/7582?

Answer: LCM of Numerators as per given numbers 31/836, 1872/7582 is

LCM of Numerators i.e. for 31,1872 is 58032

GCF of denominators i.e. for 836,7582 is 2.

Thus, LCM of Fractions is 29016.Finally, LCM of Fractions for 31/836, 1872/7582 is 29016.