Least Common Multiple of 279/52, 956/33, 614/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/52, 956/33, 614/317 quickly i.e. 81884268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/52, 956/33, 614/317 is 81884268.

LCM(279/52, 956/33, 614/317) = 81884268

LCM of 279/52, 956/33, 614/317

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 279/52,956/33,614/317

Given numbers are 279/52,956/33,614/317

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 279,956,614

Least Common Multiple of Numerators i.e. LCM of 279,956,614 is 81884268.

GCF of Denominators means GCF of 52,33,317 as per the given fractions.

GCF of 52,33,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,956,614

LCM of Fractions 279/52,956/33,614/317 is 81884268

2 279, 956, 614
279, 478, 307

∴ So the LCM of the given numbers is 2 x 279 x 478 x 307 = 81884268

Least Common Multiple of 279,956,614 with GCF Formula

Least Common Multiple of 279,956,614 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 279,956,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,956,614) = 1

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

GCF(279,956,614) x common factors =1 x 2 = 2

LCM(279,956,614) = ( 279 × 956 × 614 ) / 2

LCM(279,956,614) = 163768536 / 2

LCM(279,956,614) = 81884268


Lets's calculate GCF of 52,33,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81884268/1

Therefore the LCM of Fractions 279/52,956/33,614/317 is 81884268

Greatest Common Factor of 52,33,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,33,317 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 52,33,317 . The biggest common factor number is the GCF number.
So the greatest common factor 52,33,317 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 279/52, 956/33, 614/317

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 279/52, 956/33, 614/317?

Answer: LCM of Numerators as per given numbers 279/52, 956/33, 614/317 is

LCM of Numerators i.e. for 279,956,614 is 81884268

GCF of denominators i.e. for 52,33,317 is 1.

Thus, LCM of Fractions is 81884268.Finally, LCM of Fractions for 279/52, 956/33, 614/317 is 81884268.