Least Common Multiple of 237/96, 199/80, 732/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/96, 199/80, 732/76 quickly i.e. 2876943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/96, 199/80, 732/76 is 2876943.

LCM(237/96, 199/80, 732/76) = 2876943

LCM of 237/96, 199/80, 732/76

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 237/96,199/80,732/76

Given numbers are 237/96,199/80,732/76

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 237,199,732

Least Common Multiple of Numerators i.e. LCM of 237,199,732 is 11507772.

GCF of Denominators means GCF of 96,80,76 as per the given fractions.

GCF of 96,80,76 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,199,732

LCM of Fractions 237/96,199/80,732/76 is 2876943

3 237, 199, 732
79, 199, 244

∴ So the LCM of the given numbers is 3 x 79 x 199 x 244 = 11507772

Least Common Multiple of 237,199,732 with GCF Formula

Least Common Multiple of 237,199,732 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 237,199,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,199,732) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(237,199,732) x common factors =1 x 3 = 3

LCM(237,199,732) = ( 237 × 199 × 732 ) / 3

LCM(237,199,732) = 34523316 / 3

LCM(237,199,732) = 11507772


Lets's calculate GCF of 96,80,76

2 96, 80, 76
2 48, 40, 38
24, 20, 19

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11507772/4

Therefore the LCM of Fractions 237/96,199/80,732/76 is 2876943

Greatest Common Factor of 96,80,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,80,76 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 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 96,80,76 . The biggest common factor number is the GCF number.
So the greatest common factor 96,80,76 is 4.


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 237/96, 199/80, 732/76

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 237/96, 199/80, 732/76?

Answer: LCM of Numerators as per given numbers 237/96, 199/80, 732/76 is

LCM of Numerators i.e. for 237,199,732 is 11507772

GCF of denominators i.e. for 96,80,76 is 4.

Thus, LCM of Fractions is 2876943.Finally, LCM of Fractions for 237/96, 199/80, 732/76 is 2876943.