Least Common Multiple of 753/96, 909/2037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/96, 909/2037 quickly i.e. 76053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/96, 909/2037 is 76053.

LCM(753/96, 909/2037) = 76053

LCM of 753/96, 909/2037

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 753/96,909/2037

Given numbers are 753/96,909/2037

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 753,909

Least Common Multiple of Numerators i.e. LCM of 753,909 is 228159.

GCF of Denominators means GCF of 96,2037 as per the given fractions.

GCF of 96,2037 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,909

LCM of Fractions 753/96,909/2037 is 76053

3 753, 909
251, 303

∴ So the LCM of the given numbers is 3 x 251 x 303 = 228159

Least Common Multiple of 753,909 with GCF Formula

Least Common Multiple of 753,909 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 753,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,909) = 3

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

GCF(753,909) x common factors =3 x 1 = 3

LCM(753,909) = ( 753 × 909 ) / 3

LCM(753,909) = 684477 / 3

LCM(753,909) = 228159


Lets's calculate GCF of 96,2037

3 96, 2037
32, 679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228159/3

Therefore the LCM of Fractions 753/96,909/2037 is 76053

Greatest Common Factor of 96,2037 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2037 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Greatest Common Factor

We found the factors 96,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2037 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 753/96, 909/2037

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 753/96, 909/2037?

Answer: LCM of Numerators as per given numbers 753/96, 909/2037 is

LCM of Numerators i.e. for 753,909 is 228159

GCF of denominators i.e. for 96,2037 is 3.

Thus, LCM of Fractions is 76053.Finally, LCM of Fractions for 753/96, 909/2037 is 76053.