Least Common Multiple of 221/82, 249/46, 731/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/82, 249/46, 731/945 quickly i.e. 2366247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/82, 249/46, 731/945 is 2366247.

LCM(221/82, 249/46, 731/945) = 2366247

LCM of 221/82, 249/46, 731/945

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 221/82,249/46,731/945

Given numbers are 221/82,249/46,731/945

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 221,249,731

Least Common Multiple of Numerators i.e. LCM of 221,249,731 is 2366247.

GCF of Denominators means GCF of 82,46,945 as per the given fractions.

GCF of 82,46,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,249,731

LCM of Fractions 221/82,249/46,731/945 is 2366247

17 221, 249, 731
13, 249, 43

∴ So the LCM of the given numbers is 17 x 13 x 249 x 43 = 2366247

Least Common Multiple of 221,249,731 with GCF Formula

Least Common Multiple of 221,249,731 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 221,249,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,249,731) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(221,249,731) x common factors =1 x 17 = 17

LCM(221,249,731) = ( 221 × 249 × 731 ) / 17

LCM(221,249,731) = 40226199 / 17

LCM(221,249,731) = 2366247


Lets's calculate GCF of 82,46,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2366247/1

Therefore the LCM of Fractions 221/82,249/46,731/945 is 2366247

Greatest Common Factor of 82,46,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,46,945 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 82,46,945 . The biggest common factor number is the GCF number.
So the greatest common factor 82,46,945 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 221/82, 249/46, 731/945

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 221/82, 249/46, 731/945?

Answer: LCM of Numerators as per given numbers 221/82, 249/46, 731/945 is

LCM of Numerators i.e. for 221,249,731 is 2366247

GCF of denominators i.e. for 82,46,945 is 1.

Thus, LCM of Fractions is 2366247.Finally, LCM of Fractions for 221/82, 249/46, 731/945 is 2366247.