Least Common Multiple of 31/963, 5033/4083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/963, 5033/4083 quickly i.e. 156023/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/963, 5033/4083 is 156023/3.

LCM(31/963, 5033/4083) = 156023/3

LCM of 31/963, 5033/4083

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 31/963,5033/4083

Given numbers are 31/963,5033/4083

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 31,5033

Least Common Multiple of Numerators i.e. LCM of 31,5033 is 156023.

GCF of Denominators means GCF of 963,4083 as per the given fractions.

GCF of 963,4083 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,5033

LCM of Fractions 31/963,5033/4083 is 156023/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 156023

Least Common Multiple of 31,5033 with GCF Formula

Least Common Multiple of 31,5033 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 31,5033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,5033) = 1

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

GCF(31,5033) x common factors =1 x 1 = 1

LCM(31,5033) = ( 31 × 5033 ) / 1

LCM(31,5033) = 156023 / 1

LCM(31,5033) = 156023


Lets's calculate GCF of 963,4083

3 963, 4083
321, 1361

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156023/3

Therefore the LCM of Fractions 31/963,5033/4083 is 156023/3

Greatest Common Factor of 963,4083 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,4083 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 4083

List of positive integer factors of 4083 that divides 4083 without a remainder.

1,3,1361,4083

Greatest Common Factor

We found the factors 963,4083 . The biggest common factor number is the GCF number.
So the greatest common factor 963,4083 is 3.


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 31/963, 5033/4083

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 31/963, 5033/4083?

Answer: LCM of Numerators as per given numbers 31/963, 5033/4083 is

LCM of Numerators i.e. for 31,5033 is 156023

GCF of denominators i.e. for 963,4083 is 3.

Thus, LCM of Fractions is 156023/3.Finally, LCM of Fractions for 31/963, 5033/4083 is 156023/3.