Least Common Multiple of 31/22, 209/63, 273/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/22, 209/63, 273/506 quickly i.e. 1768767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/22, 209/63, 273/506 is 1768767.

LCM(31/22, 209/63, 273/506) = 1768767

LCM of 31/22, 209/63, 273/506

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 31/22,209/63,273/506

Given numbers are 31/22,209/63,273/506

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 31,209,273

Least Common Multiple of Numerators i.e. LCM of 31,209,273 is 1768767.

GCF of Denominators means GCF of 22,63,506 as per the given fractions.

GCF of 22,63,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,209,273

LCM of Fractions 31/22,209/63,273/506 is 1768767

Given numbers has no common factors except 1. So, there LCM is their product i.e 1768767

Least Common Multiple of 31,209,273 with GCF Formula

Least Common Multiple of 31,209,273 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 31,209,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,209,273) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,209,273) x common factors =1 x 1 = 1

LCM(31,209,273) = ( 31 × 209 × 273 ) / 1

LCM(31,209,273) = 1768767 / 1

LCM(31,209,273) = 1768767


Lets's calculate GCF of 22,63,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1768767/1

Therefore the LCM of Fractions 31/22,209/63,273/506 is 1768767

Greatest Common Factor of 22,63,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,63,506 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

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 22,63,506 . The biggest common factor number is the GCF number.
So the greatest common factor 22,63,506 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 31/22, 209/63, 273/506

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 31/22, 209/63, 273/506?

Answer: LCM of Numerators as per given numbers 31/22, 209/63, 273/506 is

LCM of Numerators i.e. for 31,209,273 is 1768767

GCF of denominators i.e. for 22,63,506 is 1.

Thus, LCM of Fractions is 1768767.Finally, LCM of Fractions for 31/22, 209/63, 273/506 is 1768767.