Least Common Multiple of 237/792, 4299/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/792, 4299/516 quickly i.e. 339621/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/792, 4299/516 is 339621/12.

LCM(237/792, 4299/516) = 339621/12

LCM of 237/792, 4299/516

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 237/792,4299/516

Given numbers are 237/792,4299/516

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 237,4299

Least Common Multiple of Numerators i.e. LCM of 237,4299 is 339621.

GCF of Denominators means GCF of 792,516 as per the given fractions.

GCF of 792,516 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,4299

LCM of Fractions 237/792,4299/516 is 339621/12

3 237, 4299
79, 1433

∴ So the LCM of the given numbers is 3 x 79 x 1433 = 339621

Least Common Multiple of 237,4299 with GCF Formula

Least Common Multiple of 237,4299 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 237,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,4299) = 3

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

GCF(237,4299) x common factors =3 x 1 = 3

LCM(237,4299) = ( 237 × 4299 ) / 3

LCM(237,4299) = 1018863 / 3

LCM(237,4299) = 339621


Lets's calculate GCF of 792,516

2 792, 516
2 396, 258
3 198, 129
66, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339621/12

Therefore the LCM of Fractions 237/792,4299/516 is 339621/12

Greatest Common Factor of 792,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,516 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 792,516 . The biggest common factor number is the GCF number.
So the greatest common factor 792,516 is 12.


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 237/792, 4299/516

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 237/792, 4299/516?

Answer: LCM of Numerators as per given numbers 237/792, 4299/516 is

LCM of Numerators i.e. for 237,4299 is 339621

GCF of denominators i.e. for 792,516 is 12.

Thus, LCM of Fractions is 339621/12.Finally, LCM of Fractions for 237/792, 4299/516 is 339621/12.