Least Common Multiple of 524/43, 673/26, 822/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/43, 673/26, 822/442 quickly i.e. 144939972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/43, 673/26, 822/442 is 144939972.

LCM(524/43, 673/26, 822/442) = 144939972

LCM of 524/43, 673/26, 822/442

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 524/43,673/26,822/442

Given numbers are 524/43,673/26,822/442

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 524,673,822

Least Common Multiple of Numerators i.e. LCM of 524,673,822 is 144939972.

GCF of Denominators means GCF of 43,26,442 as per the given fractions.

GCF of 43,26,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,673,822

LCM of Fractions 524/43,673/26,822/442 is 144939972

2 524, 673, 822
262, 673, 411

∴ So the LCM of the given numbers is 2 x 262 x 673 x 411 = 144939972

Least Common Multiple of 524,673,822 with GCF Formula

Least Common Multiple of 524,673,822 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 524,673,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,673,822) = 1

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

GCF(524,673,822) x common factors =1 x 2 = 2

LCM(524,673,822) = ( 524 × 673 × 822 ) / 2

LCM(524,673,822) = 289879944 / 2

LCM(524,673,822) = 144939972


Lets's calculate GCF of 43,26,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144939972/1

Therefore the LCM of Fractions 524/43,673/26,822/442 is 144939972

Greatest Common Factor of 43,26,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,26,442 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 43,26,442 . The biggest common factor number is the GCF number.
So the greatest common factor 43,26,442 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 524/43, 673/26, 822/442

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 524/43, 673/26, 822/442?

Answer: LCM of Numerators as per given numbers 524/43, 673/26, 822/442 is

LCM of Numerators i.e. for 524,673,822 is 144939972

GCF of denominators i.e. for 43,26,442 is 1.

Thus, LCM of Fractions is 144939972.Finally, LCM of Fractions for 524/43, 673/26, 822/442 is 144939972.