Least Common Multiple of 75/494, 21/738, 839/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/494, 21/738, 839/874 quickly i.e. 440475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/494, 21/738, 839/874 is 440475/2.

LCM(75/494, 21/738, 839/874) = 440475/2

LCM of 75/494, 21/738, 839/874

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 75/494,21/738,839/874

Given numbers are 75/494,21/738,839/874

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 75,21,839

Least Common Multiple of Numerators i.e. LCM of 75,21,839 is 440475.

GCF of Denominators means GCF of 494,738,874 as per the given fractions.

GCF of 494,738,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,21,839

LCM of Fractions 75/494,21/738,839/874 is 440475/2

3 75, 21, 839
25, 7, 839

∴ So the LCM of the given numbers is 3 x 25 x 7 x 839 = 440475

Least Common Multiple of 75,21,839 with GCF Formula

Least Common Multiple of 75,21,839 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 75,21,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,21,839) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,21,839) x common factors =1 x 3 = 3

LCM(75,21,839) = ( 75 × 21 × 839 ) / 3

LCM(75,21,839) = 1321425 / 3

LCM(75,21,839) = 440475


Lets's calculate GCF of 494,738,874

2 494, 738, 874
247, 369, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440475/2

Therefore the LCM of Fractions 75/494,21/738,839/874 is 440475/2

Greatest Common Factor of 494,738,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,738,874 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 494,738,874 . The biggest common factor number is the GCF number.
So the greatest common factor 494,738,874 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 75/494, 21/738, 839/874

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 75/494, 21/738, 839/874?

Answer: LCM of Numerators as per given numbers 75/494, 21/738, 839/874 is

LCM of Numerators i.e. for 75,21,839 is 440475

GCF of denominators i.e. for 494,738,874 is 2.

Thus, LCM of Fractions is 440475/2.Finally, LCM of Fractions for 75/494, 21/738, 839/874 is 440475/2.