Least Common Multiple of 41/442, 53/854, 268/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/442, 53/854, 268/783 quickly i.e. 582364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/442, 53/854, 268/783 is 582364.

LCM(41/442, 53/854, 268/783) = 582364

LCM of 41/442, 53/854, 268/783

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 41/442,53/854,268/783

Given numbers are 41/442,53/854,268/783

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 41,53,268

Least Common Multiple of Numerators i.e. LCM of 41,53,268 is 582364.

GCF of Denominators means GCF of 442,854,783 as per the given fractions.

GCF of 442,854,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,53,268

LCM of Fractions 41/442,53/854,268/783 is 582364

Given numbers has no common factors except 1. So, there LCM is their product i.e 582364

Least Common Multiple of 41,53,268 with GCF Formula

Least Common Multiple of 41,53,268 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 41,53,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,53,268) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,53,268) x common factors =1 x 1 = 1

LCM(41,53,268) = ( 41 × 53 × 268 ) / 1

LCM(41,53,268) = 582364 / 1

LCM(41,53,268) = 582364


Lets's calculate GCF of 442,854,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582364/1

Therefore the LCM of Fractions 41/442,53/854,268/783 is 582364

Greatest Common Factor of 442,854,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,854,783 By Matching Biggest Common Factor Method

Factors of 442

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

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

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 442,854,783 . The biggest common factor number is the GCF number.
So the greatest common factor 442,854,783 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 41/442, 53/854, 268/783

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 41/442, 53/854, 268/783?

Answer: LCM of Numerators as per given numbers 41/442, 53/854, 268/783 is

LCM of Numerators i.e. for 41,53,268 is 582364

GCF of denominators i.e. for 442,854,783 is 1.

Thus, LCM of Fractions is 582364.Finally, LCM of Fractions for 41/442, 53/854, 268/783 is 582364.