Least Common Multiple of 277/26, 330/95, 542/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/26, 330/95, 542/642 quickly i.e. 24772110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/26, 330/95, 542/642 is 24772110.

LCM(277/26, 330/95, 542/642) = 24772110

LCM of 277/26, 330/95, 542/642

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 277/26,330/95,542/642

Given numbers are 277/26,330/95,542/642

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 277,330,542

Least Common Multiple of Numerators i.e. LCM of 277,330,542 is 24772110.

GCF of Denominators means GCF of 26,95,642 as per the given fractions.

GCF of 26,95,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,330,542

LCM of Fractions 277/26,330/95,542/642 is 24772110

2 277, 330, 542
277, 165, 271

∴ So the LCM of the given numbers is 2 x 277 x 165 x 271 = 24772110

Least Common Multiple of 277,330,542 with GCF Formula

Least Common Multiple of 277,330,542 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 277,330,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,330,542) = 1

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

GCF(277,330,542) x common factors =1 x 2 = 2

LCM(277,330,542) = ( 277 × 330 × 542 ) / 2

LCM(277,330,542) = 49544220 / 2

LCM(277,330,542) = 24772110


Lets's calculate GCF of 26,95,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24772110/1

Therefore the LCM of Fractions 277/26,330/95,542/642 is 24772110

Greatest Common Factor of 26,95,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,95,642 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 26,95,642 . The biggest common factor number is the GCF number.
So the greatest common factor 26,95,642 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 277/26, 330/95, 542/642

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 277/26, 330/95, 542/642?

Answer: LCM of Numerators as per given numbers 277/26, 330/95, 542/642 is

LCM of Numerators i.e. for 277,330,542 is 24772110

GCF of denominators i.e. for 26,95,642 is 1.

Thus, LCM of Fractions is 24772110.Finally, LCM of Fractions for 277/26, 330/95, 542/642 is 24772110.