Least Common Multiple of 41/48, 24/517, 983/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/48, 24/517, 983/418 quickly i.e. 967272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/48, 24/517, 983/418 is 967272.

LCM(41/48, 24/517, 983/418) = 967272

LCM of 41/48, 24/517, 983/418

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 41/48,24/517,983/418

Given numbers are 41/48,24/517,983/418

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 41,24,983

Least Common Multiple of Numerators i.e. LCM of 41,24,983 is 967272.

GCF of Denominators means GCF of 48,517,418 as per the given fractions.

GCF of 48,517,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,24,983

LCM of Fractions 41/48,24/517,983/418 is 967272

Given numbers has no common factors except 1. So, there LCM is their product i.e 967272

Least Common Multiple of 41,24,983 with GCF Formula

Least Common Multiple of 41,24,983 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 41,24,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,24,983) = 1

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

GCF(41,24,983) x common factors =1 x 1 = 1

LCM(41,24,983) = ( 41 × 24 × 983 ) / 1

LCM(41,24,983) = 967272 / 1

LCM(41,24,983) = 967272


Lets's calculate GCF of 48,517,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967272/1

Therefore the LCM of Fractions 41/48,24/517,983/418 is 967272

Greatest Common Factor of 48,517,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,517,418 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 48,517,418 . The biggest common factor number is the GCF number.
So the greatest common factor 48,517,418 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 41/48, 24/517, 983/418

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 41/48, 24/517, 983/418?

Answer: LCM of Numerators as per given numbers 41/48, 24/517, 983/418 is

LCM of Numerators i.e. for 41,24,983 is 967272

GCF of denominators i.e. for 48,517,418 is 1.

Thus, LCM of Fractions is 967272.Finally, LCM of Fractions for 41/48, 24/517, 983/418 is 967272.