Least Common Multiple of 60/816, 60/261, 191/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/816, 60/261, 191/246 quickly i.e. 3820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/816, 60/261, 191/246 is 3820.

LCM(60/816, 60/261, 191/246) = 3820

LCM of 60/816, 60/261, 191/246

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 60/816,60/261,191/246

Given numbers are 60/816,60/261,191/246

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 60,60,191

Least Common Multiple of Numerators i.e. LCM of 60,60,191 is 11460.

GCF of Denominators means GCF of 816,261,246 as per the given fractions.

GCF of 816,261,246 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,60,191

LCM of Fractions 60/816,60/261,191/246 is 3820

2 60, 60, 191
2 30, 30, 191
3 15, 15, 191
5 5, 5, 191
1, 1, 191

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 191 = 11460

Least Common Multiple of 60,60,191 with GCF Formula

Least Common Multiple of 60,60,191 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 60,60,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,60,191) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(60,60,191) x common factors =1 x 60 = 60

LCM(60,60,191) = ( 60 × 60 × 191 ) / 60

LCM(60,60,191) = 687600 / 60

LCM(60,60,191) = 11460


Lets's calculate GCF of 816,261,246

3 816, 261, 246
272, 87, 82

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11460/3

Therefore the LCM of Fractions 60/816,60/261,191/246 is 3820

Greatest Common Factor of 816,261,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,261,246 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 261

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

1,3,9,29,87,261

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 816,261,246 . The biggest common factor number is the GCF number.
So the greatest common factor 816,261,246 is 3.


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 60/816, 60/261, 191/246

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 60/816, 60/261, 191/246?

Answer: LCM of Numerators as per given numbers 60/816, 60/261, 191/246 is

LCM of Numerators i.e. for 60,60,191 is 11460

GCF of denominators i.e. for 816,261,246 is 3.

Thus, LCM of Fractions is 3820.Finally, LCM of Fractions for 60/816, 60/261, 191/246 is 3820.