Least Common Multiple of 254/218, 735/323, 118/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/218, 735/323, 118/490 quickly i.e. 11014710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/218, 735/323, 118/490 is 11014710.

LCM(254/218, 735/323, 118/490) = 11014710

LCM of 254/218, 735/323, 118/490

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 254/218,735/323,118/490

Given numbers are 254/218,735/323,118/490

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 254,735,118

Least Common Multiple of Numerators i.e. LCM of 254,735,118 is 11014710.

GCF of Denominators means GCF of 218,323,490 as per the given fractions.

GCF of 218,323,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,735,118

LCM of Fractions 254/218,735/323,118/490 is 11014710

2 254, 735, 118
127, 735, 59

∴ So the LCM of the given numbers is 2 x 127 x 735 x 59 = 11014710

Least Common Multiple of 254,735,118 with GCF Formula

Least Common Multiple of 254,735,118 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 254,735,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,735,118) = 1

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

GCF(254,735,118) x common factors =1 x 2 = 2

LCM(254,735,118) = ( 254 × 735 × 118 ) / 2

LCM(254,735,118) = 22029420 / 2

LCM(254,735,118) = 11014710


Lets's calculate GCF of 218,323,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11014710/1

Therefore the LCM of Fractions 254/218,735/323,118/490 is 11014710

Greatest Common Factor of 218,323,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,323,490 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 218,323,490 . The biggest common factor number is the GCF number.
So the greatest common factor 218,323,490 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 254/218, 735/323, 118/490

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 254/218, 735/323, 118/490?

Answer: LCM of Numerators as per given numbers 254/218, 735/323, 118/490 is

LCM of Numerators i.e. for 254,735,118 is 11014710

GCF of denominators i.e. for 218,323,490 is 1.

Thus, LCM of Fractions is 11014710.Finally, LCM of Fractions for 254/218, 735/323, 118/490 is 11014710.