Least Common Multiple of 792/74, 561/51, 513/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/74, 561/51, 513/992 quickly i.e. 767448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/74, 561/51, 513/992 is 767448.

LCM(792/74, 561/51, 513/992) = 767448

LCM of 792/74, 561/51, 513/992

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 792/74,561/51,513/992

Given numbers are 792/74,561/51,513/992

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 792,561,513

Least Common Multiple of Numerators i.e. LCM of 792,561,513 is 767448.

GCF of Denominators means GCF of 74,51,992 as per the given fractions.

GCF of 74,51,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,561,513

LCM of Fractions 792/74,561/51,513/992 is 767448

3 792, 561, 513
3 264, 187, 171
11 88, 187, 57
8, 17, 57

∴ So the LCM of the given numbers is 3 x 3 x 11 x 8 x 17 x 57 = 767448

Least Common Multiple of 792,561,513 with GCF Formula

Least Common Multiple of 792,561,513 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 792,561,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,561,513) = 3

common factors(in case of two or more numbers have common factors) = 99

GCF(792,561,513) x common factors =3 x 99 = 297

LCM(792,561,513) = ( 792 × 561 × 513 ) / 297

LCM(792,561,513) = 227932056 / 297

LCM(792,561,513) = 767448


Lets's calculate GCF of 74,51,992

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767448/1

Therefore the LCM of Fractions 792/74,561/51,513/992 is 767448

Greatest Common Factor of 74,51,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,51,992 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 74,51,992 . The biggest common factor number is the GCF number.
So the greatest common factor 74,51,992 is 1.


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 792/74, 561/51, 513/992

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 792/74, 561/51, 513/992?

Answer: LCM of Numerators as per given numbers 792/74, 561/51, 513/992 is

LCM of Numerators i.e. for 792,561,513 is 767448

GCF of denominators i.e. for 74,51,992 is 1.

Thus, LCM of Fractions is 767448.Finally, LCM of Fractions for 792/74, 561/51, 513/992 is 767448.