Least Common Multiple of 540/269, 258/268, 903/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/269, 258/268, 903/473 quickly i.e. 162540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/269, 258/268, 903/473 is 162540.

LCM(540/269, 258/268, 903/473) = 162540

LCM of 540/269, 258/268, 903/473

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 540/269,258/268,903/473

Given numbers are 540/269,258/268,903/473

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 540,258,903

Least Common Multiple of Numerators i.e. LCM of 540,258,903 is 162540.

GCF of Denominators means GCF of 269,268,473 as per the given fractions.

GCF of 269,268,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,258,903

LCM of Fractions 540/269,258/268,903/473 is 162540

2 540, 258, 903
3 270, 129, 903
43 90, 43, 301
90, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 43 x 90 x 1 x 7 = 162540

Least Common Multiple of 540,258,903 with GCF Formula

Least Common Multiple of 540,258,903 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 540,258,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,258,903) = 3

common factors(in case of two or more numbers have common factors) = 258

GCF(540,258,903) x common factors =3 x 258 = 774

LCM(540,258,903) = ( 540 × 258 × 903 ) / 774

LCM(540,258,903) = 125805960 / 774

LCM(540,258,903) = 162540


Lets's calculate GCF of 269,268,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162540/1

Therefore the LCM of Fractions 540/269,258/268,903/473 is 162540

Greatest Common Factor of 269,268,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,268,473 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 269,268,473 . The biggest common factor number is the GCF number.
So the greatest common factor 269,268,473 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 540/269, 258/268, 903/473

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 540/269, 258/268, 903/473?

Answer: LCM of Numerators as per given numbers 540/269, 258/268, 903/473 is

LCM of Numerators i.e. for 540,258,903 is 162540

GCF of denominators i.e. for 269,268,473 is 1.

Thus, LCM of Fractions is 162540.Finally, LCM of Fractions for 540/269, 258/268, 903/473 is 162540.