Least Common Multiple of 45/253, 12/249, 261/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/253, 12/249, 261/506 quickly i.e. 5220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/253, 12/249, 261/506 is 5220.

LCM(45/253, 12/249, 261/506) = 5220

LCM of 45/253, 12/249, 261/506

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 45/253,12/249,261/506

Given numbers are 45/253,12/249,261/506

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 45,12,261

Least Common Multiple of Numerators i.e. LCM of 45,12,261 is 5220.

GCF of Denominators means GCF of 253,249,506 as per the given fractions.

GCF of 253,249,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,12,261

LCM of Fractions 45/253,12/249,261/506 is 5220

3 45, 12, 261
3 15, 4, 87
5, 4, 29

∴ So the LCM of the given numbers is 3 x 3 x 5 x 4 x 29 = 5220

Least Common Multiple of 45,12,261 with GCF Formula

Least Common Multiple of 45,12,261 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 45,12,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,12,261) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,12,261) x common factors =3 x 9 = 27

LCM(45,12,261) = ( 45 × 12 × 261 ) / 27

LCM(45,12,261) = 140940 / 27

LCM(45,12,261) = 5220


Lets's calculate GCF of 253,249,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5220/1

Therefore the LCM of Fractions 45/253,12/249,261/506 is 5220

Greatest Common Factor of 253,249,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,249,506 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 253,249,506 . The biggest common factor number is the GCF number.
So the greatest common factor 253,249,506 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 45/253, 12/249, 261/506

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 45/253, 12/249, 261/506?

Answer: LCM of Numerators as per given numbers 45/253, 12/249, 261/506 is

LCM of Numerators i.e. for 45,12,261 is 5220

GCF of denominators i.e. for 253,249,506 is 1.

Thus, LCM of Fractions is 5220.Finally, LCM of Fractions for 45/253, 12/249, 261/506 is 5220.