Least Common Multiple of 7001/900, 9261/2373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7001/900, 9261/2373 quickly i.e. 21612087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7001/900, 9261/2373 is 21612087.

LCM(7001/900, 9261/2373) = 21612087

LCM of 7001/900, 9261/2373

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 7001/900,9261/2373

Given numbers are 7001/900,9261/2373

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 7001,9261

Least Common Multiple of Numerators i.e. LCM of 7001,9261 is 64836261.

GCF of Denominators means GCF of 900,2373 as per the given fractions.

GCF of 900,2373 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7001,9261

LCM of Fractions 7001/900,9261/2373 is 21612087

Given numbers has no common factors except 1. So, there LCM is their product i.e 64836261

Least Common Multiple of 7001,9261 with GCF Formula

Least Common Multiple of 7001,9261 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 7001,9261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7001,9261) = 1

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

GCF(7001,9261) x common factors =1 x 1 = 1

LCM(7001,9261) = ( 7001 × 9261 ) / 1

LCM(7001,9261) = 64836261 / 1

LCM(7001,9261) = 64836261


Lets's calculate GCF of 900,2373

3 900, 2373
300, 791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64836261/3

Therefore the LCM of Fractions 7001/900,9261/2373 is 21612087

Greatest Common Factor of 900,2373 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,2373 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 2373

List of positive integer factors of 2373 that divides 2373 without a remainder.

1,3,7,21,113,339,791,2373

Greatest Common Factor

We found the factors 900,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 900,2373 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 7001/900, 9261/2373

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 7001/900, 9261/2373?

Answer: LCM of Numerators as per given numbers 7001/900, 9261/2373 is

LCM of Numerators i.e. for 7001,9261 is 64836261

GCF of denominators i.e. for 900,2373 is 3.

Thus, LCM of Fractions is 21612087.Finally, LCM of Fractions for 7001/900, 9261/2373 is 21612087.