Least Common Multiple of 22/494, 609/338, 843/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/494, 609/338, 843/542 quickly i.e. 1882419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/494, 609/338, 843/542 is 1882419.

LCM(22/494, 609/338, 843/542) = 1882419

LCM of 22/494, 609/338, 843/542

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 22/494,609/338,843/542

Given numbers are 22/494,609/338,843/542

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 22,609,843

Least Common Multiple of Numerators i.e. LCM of 22,609,843 is 3764838.

GCF of Denominators means GCF of 494,338,542 as per the given fractions.

GCF of 494,338,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,609,843

LCM of Fractions 22/494,609/338,843/542 is 1882419

3 22, 609, 843
22, 203, 281

∴ So the LCM of the given numbers is 3 x 22 x 203 x 281 = 3764838

Least Common Multiple of 22,609,843 with GCF Formula

Least Common Multiple of 22,609,843 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 22,609,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,609,843) = 1

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

GCF(22,609,843) x common factors =1 x 3 = 3

LCM(22,609,843) = ( 22 × 609 × 843 ) / 3

LCM(22,609,843) = 11294514 / 3

LCM(22,609,843) = 3764838


Lets's calculate GCF of 494,338,542

2 494, 338, 542
247, 169, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3764838/2

Therefore the LCM of Fractions 22/494,609/338,843/542 is 1882419

Greatest Common Factor of 494,338,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,338,542 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 494,338,542 . The biggest common factor number is the GCF number.
So the greatest common factor 494,338,542 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 22/494, 609/338, 843/542

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 22/494, 609/338, 843/542?

Answer: LCM of Numerators as per given numbers 22/494, 609/338, 843/542 is

LCM of Numerators i.e. for 22,609,843 is 3764838

GCF of denominators i.e. for 494,338,542 is 2.

Thus, LCM of Fractions is 1882419.Finally, LCM of Fractions for 22/494, 609/338, 843/542 is 1882419.