Least Common Multiple of 972/99, 996/5043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/99, 996/5043 quickly i.e. 26892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/99, 996/5043 is 26892.

LCM(972/99, 996/5043) = 26892

LCM of 972/99, 996/5043

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 972/99,996/5043

Given numbers are 972/99,996/5043

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 972,996

Least Common Multiple of Numerators i.e. LCM of 972,996 is 80676.

GCF of Denominators means GCF of 99,5043 as per the given fractions.

GCF of 99,5043 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,996

LCM of Fractions 972/99,996/5043 is 26892

2 972, 996
2 486, 498
3 243, 249
81, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 83 = 80676

Least Common Multiple of 972,996 with GCF Formula

Least Common Multiple of 972,996 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 972,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,996) = 12

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

GCF(972,996) x common factors =12 x 1 = 12

LCM(972,996) = ( 972 × 996 ) / 12

LCM(972,996) = 968112 / 12

LCM(972,996) = 80676


Lets's calculate GCF of 99,5043

3 99, 5043
33, 1681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80676/3

Therefore the LCM of Fractions 972/99,996/5043 is 26892

Greatest Common Factor of 99,5043 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,5043 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Greatest Common Factor

We found the factors 99,5043 . The biggest common factor number is the GCF number.
So the greatest common factor 99,5043 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 972/99, 996/5043

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 972/99, 996/5043?

Answer: LCM of Numerators as per given numbers 972/99, 996/5043 is

LCM of Numerators i.e. for 972,996 is 80676

GCF of denominators i.e. for 99,5043 is 3.

Thus, LCM of Fractions is 26892.Finally, LCM of Fractions for 972/99, 996/5043 is 26892.