Least Common Multiple of 27/950, 154/579, 612/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/950, 154/579, 612/311 quickly i.e. 141372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/950, 154/579, 612/311 is 141372.

LCM(27/950, 154/579, 612/311) = 141372

LCM of 27/950, 154/579, 612/311

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 27/950,154/579,612/311

Given numbers are 27/950,154/579,612/311

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 27,154,612

Least Common Multiple of Numerators i.e. LCM of 27,154,612 is 141372.

GCF of Denominators means GCF of 950,579,311 as per the given fractions.

GCF of 950,579,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,154,612

LCM of Fractions 27/950,154/579,612/311 is 141372

2 27, 154, 612
3 27, 77, 306
3 9, 77, 102
3, 77, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 77 x 34 = 141372

Least Common Multiple of 27,154,612 with GCF Formula

Least Common Multiple of 27,154,612 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 27,154,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,154,612) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(27,154,612) x common factors =1 x 18 = 18

LCM(27,154,612) = ( 27 × 154 × 612 ) / 18

LCM(27,154,612) = 2544696 / 18

LCM(27,154,612) = 141372


Lets's calculate GCF of 950,579,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141372/1

Therefore the LCM of Fractions 27/950,154/579,612/311 is 141372

Greatest Common Factor of 950,579,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,579,311 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 950,579,311 . The biggest common factor number is the GCF number.
So the greatest common factor 950,579,311 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 27/950, 154/579, 612/311

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 27/950, 154/579, 612/311?

Answer: LCM of Numerators as per given numbers 27/950, 154/579, 612/311 is

LCM of Numerators i.e. for 27,154,612 is 141372

GCF of denominators i.e. for 950,579,311 is 1.

Thus, LCM of Fractions is 141372.Finally, LCM of Fractions for 27/950, 154/579, 612/311 is 141372.