Least Common Multiple of 12/261, 220/352, 593/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/261, 220/352, 593/272 quickly i.e. 391380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/261, 220/352, 593/272 is 391380.

LCM(12/261, 220/352, 593/272) = 391380

LCM of 12/261, 220/352, 593/272

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 12/261,220/352,593/272

Given numbers are 12/261,220/352,593/272

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 12,220,593

Least Common Multiple of Numerators i.e. LCM of 12,220,593 is 391380.

GCF of Denominators means GCF of 261,352,272 as per the given fractions.

GCF of 261,352,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,220,593

LCM of Fractions 12/261,220/352,593/272 is 391380

2 12, 220, 593
2 6, 110, 593
3, 55, 593

∴ So the LCM of the given numbers is 2 x 2 x 3 x 55 x 593 = 391380

Least Common Multiple of 12,220,593 with GCF Formula

Least Common Multiple of 12,220,593 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 12,220,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,220,593) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,220,593) x common factors =1 x 4 = 4

LCM(12,220,593) = ( 12 × 220 × 593 ) / 4

LCM(12,220,593) = 1565520 / 4

LCM(12,220,593) = 391380


Lets's calculate GCF of 261,352,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391380/1

Therefore the LCM of Fractions 12/261,220/352,593/272 is 391380

Greatest Common Factor of 261,352,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,352,272 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 261,352,272 . The biggest common factor number is the GCF number.
So the greatest common factor 261,352,272 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 12/261, 220/352, 593/272

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 12/261, 220/352, 593/272?

Answer: LCM of Numerators as per given numbers 12/261, 220/352, 593/272 is

LCM of Numerators i.e. for 12,220,593 is 391380

GCF of denominators i.e. for 261,352,272 is 1.

Thus, LCM of Fractions is 391380.Finally, LCM of Fractions for 12/261, 220/352, 593/272 is 391380.