Least Common Multiple of 28/309, 50/520, 381/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/309, 50/520, 381/538 quickly i.e. 266700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/309, 50/520, 381/538 is 266700.

LCM(28/309, 50/520, 381/538) = 266700

LCM of 28/309, 50/520, 381/538

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 28/309,50/520,381/538

Given numbers are 28/309,50/520,381/538

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 28,50,381

Least Common Multiple of Numerators i.e. LCM of 28,50,381 is 266700.

GCF of Denominators means GCF of 309,520,538 as per the given fractions.

GCF of 309,520,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,50,381

LCM of Fractions 28/309,50/520,381/538 is 266700

2 28, 50, 381
14, 25, 381

∴ So the LCM of the given numbers is 2 x 14 x 25 x 381 = 266700

Least Common Multiple of 28,50,381 with GCF Formula

Least Common Multiple of 28,50,381 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 28,50,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,50,381) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,50,381) x common factors =1 x 2 = 2

LCM(28,50,381) = ( 28 × 50 × 381 ) / 2

LCM(28,50,381) = 533400 / 2

LCM(28,50,381) = 266700


Lets's calculate GCF of 309,520,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266700/1

Therefore the LCM of Fractions 28/309,50/520,381/538 is 266700

Greatest Common Factor of 309,520,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,520,538 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 309,520,538 . The biggest common factor number is the GCF number.
So the greatest common factor 309,520,538 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 28/309, 50/520, 381/538

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 28/309, 50/520, 381/538?

Answer: LCM of Numerators as per given numbers 28/309, 50/520, 381/538 is

LCM of Numerators i.e. for 28,50,381 is 266700

GCF of denominators i.e. for 309,520,538 is 1.

Thus, LCM of Fractions is 266700.Finally, LCM of Fractions for 28/309, 50/520, 381/538 is 266700.