Least Common Multiple of 254/100, 842/300, 518/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/100, 842/300, 518/294 quickly i.e. 13847953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/100, 842/300, 518/294 is 13847953.

LCM(254/100, 842/300, 518/294) = 13847953

LCM of 254/100, 842/300, 518/294

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 254/100,842/300,518/294

Given numbers are 254/100,842/300,518/294

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 254,842,518

Least Common Multiple of Numerators i.e. LCM of 254,842,518 is 27695906.

GCF of Denominators means GCF of 100,300,294 as per the given fractions.

GCF of 100,300,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,842,518

LCM of Fractions 254/100,842/300,518/294 is 13847953

2 254, 842, 518
127, 421, 259

∴ So the LCM of the given numbers is 2 x 127 x 421 x 259 = 27695906

Least Common Multiple of 254,842,518 with GCF Formula

Least Common Multiple of 254,842,518 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 254,842,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,842,518) = 2

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

GCF(254,842,518) x common factors =2 x 2 = 4

LCM(254,842,518) = ( 254 × 842 × 518 ) / 4

LCM(254,842,518) = 110783624 / 4

LCM(254,842,518) = 27695906


Lets's calculate GCF of 100,300,294

2 100, 300, 294
50, 150, 147

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27695906/2

Therefore the LCM of Fractions 254/100,842/300,518/294 is 13847953

Greatest Common Factor of 100,300,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,300,294 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 100,300,294 . The biggest common factor number is the GCF number.
So the greatest common factor 100,300,294 is 2.


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 254/100, 842/300, 518/294

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 254/100, 842/300, 518/294?

Answer: LCM of Numerators as per given numbers 254/100, 842/300, 518/294 is

LCM of Numerators i.e. for 254,842,518 is 27695906

GCF of denominators i.e. for 100,300,294 is 2.

Thus, LCM of Fractions is 13847953.Finally, LCM of Fractions for 254/100, 842/300, 518/294 is 13847953.