Least Common Multiple of 50/768, 789/500, 774/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/768, 789/500, 774/942 quickly i.e. 2544525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/768, 789/500, 774/942 is 2544525.

LCM(50/768, 789/500, 774/942) = 2544525

LCM of 50/768, 789/500, 774/942

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 50/768,789/500,774/942

Given numbers are 50/768,789/500,774/942

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 50,789,774

Least Common Multiple of Numerators i.e. LCM of 50,789,774 is 5089050.

GCF of Denominators means GCF of 768,500,942 as per the given fractions.

GCF of 768,500,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,789,774

LCM of Fractions 50/768,789/500,774/942 is 2544525

2 50, 789, 774
3 25, 789, 387
25, 263, 129

∴ So the LCM of the given numbers is 2 x 3 x 25 x 263 x 129 = 5089050

Least Common Multiple of 50,789,774 with GCF Formula

Least Common Multiple of 50,789,774 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 50,789,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,789,774) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(50,789,774) x common factors =1 x 6 = 6

LCM(50,789,774) = ( 50 × 789 × 774 ) / 6

LCM(50,789,774) = 30534300 / 6

LCM(50,789,774) = 5089050


Lets's calculate GCF of 768,500,942

2 768, 500, 942
384, 250, 471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5089050/2

Therefore the LCM of Fractions 50/768,789/500,774/942 is 2544525

Greatest Common Factor of 768,500,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,500,942 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 768,500,942 . The biggest common factor number is the GCF number.
So the greatest common factor 768,500,942 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 50/768, 789/500, 774/942

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 50/768, 789/500, 774/942?

Answer: LCM of Numerators as per given numbers 50/768, 789/500, 774/942 is

LCM of Numerators i.e. for 50,789,774 is 5089050

GCF of denominators i.e. for 768,500,942 is 2.

Thus, LCM of Fractions is 2544525.Finally, LCM of Fractions for 50/768, 789/500, 774/942 is 2544525.