Least Common Multiple of 795/792, 539/240, 476/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/792, 539/240, 476/506 quickly i.e. 14569170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/792, 539/240, 476/506 is 14569170.

LCM(795/792, 539/240, 476/506) = 14569170

LCM of 795/792, 539/240, 476/506

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 795/792,539/240,476/506

Given numbers are 795/792,539/240,476/506

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 795,539,476

Least Common Multiple of Numerators i.e. LCM of 795,539,476 is 29138340.

GCF of Denominators means GCF of 792,240,506 as per the given fractions.

GCF of 792,240,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,539,476

LCM of Fractions 795/792,539/240,476/506 is 14569170

7 795, 539, 476
795, 77, 68

∴ So the LCM of the given numbers is 7 x 795 x 77 x 68 = 29138340

Least Common Multiple of 795,539,476 with GCF Formula

Least Common Multiple of 795,539,476 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 795,539,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,539,476) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(795,539,476) x common factors =1 x 7 = 7

LCM(795,539,476) = ( 795 × 539 × 476 ) / 7

LCM(795,539,476) = 203968380 / 7

LCM(795,539,476) = 29138340


Lets's calculate GCF of 792,240,506

2 792, 240, 506
396, 120, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29138340/2

Therefore the LCM of Fractions 795/792,539/240,476/506 is 14569170

Greatest Common Factor of 792,240,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,240,506 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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 792,240,506 . The biggest common factor number is the GCF number.
So the greatest common factor 792,240,506 is 2.


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 795/792, 539/240, 476/506

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 795/792, 539/240, 476/506?

Answer: LCM of Numerators as per given numbers 795/792, 539/240, 476/506 is

LCM of Numerators i.e. for 795,539,476 is 29138340

GCF of denominators i.e. for 792,240,506 is 2.

Thus, LCM of Fractions is 14569170.Finally, LCM of Fractions for 795/792, 539/240, 476/506 is 14569170.