Least Common Multiple of 13/82, 79/490, 966/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/82, 79/490, 966/356 quickly i.e. 496041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/82, 79/490, 966/356 is 496041.

LCM(13/82, 79/490, 966/356) = 496041

LCM of 13/82, 79/490, 966/356

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 13/82,79/490,966/356

Given numbers are 13/82,79/490,966/356

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 13,79,966

Least Common Multiple of Numerators i.e. LCM of 13,79,966 is 992082.

GCF of Denominators means GCF of 82,490,356 as per the given fractions.

GCF of 82,490,356 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,79,966

LCM of Fractions 13/82,79/490,966/356 is 496041

Given numbers has no common factors except 1. So, there LCM is their product i.e 992082

Least Common Multiple of 13,79,966 with GCF Formula

Least Common Multiple of 13,79,966 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 13,79,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,79,966) = 1

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

GCF(13,79,966) x common factors =1 x 1 = 1

LCM(13,79,966) = ( 13 × 79 × 966 ) / 1

LCM(13,79,966) = 992082 / 1

LCM(13,79,966) = 992082


Lets's calculate GCF of 82,490,356

2 82, 490, 356
41, 245, 178

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 992082/2

Therefore the LCM of Fractions 13/82,79/490,966/356 is 496041

Greatest Common Factor of 82,490,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,490,356 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 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 82,490,356 . The biggest common factor number is the GCF number.
So the greatest common factor 82,490,356 is 2.


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 13/82, 79/490, 966/356

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 13/82, 79/490, 966/356?

Answer: LCM of Numerators as per given numbers 13/82, 79/490, 966/356 is

LCM of Numerators i.e. for 13,79,966 is 992082

GCF of denominators i.e. for 82,490,356 is 2.

Thus, LCM of Fractions is 496041.Finally, LCM of Fractions for 13/82, 79/490, 966/356 is 496041.