Least Common Multiple of 479/338, 2827/8190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/338, 2827/8190 quickly i.e. 1354133/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/338, 2827/8190 is 1354133/26.

LCM(479/338, 2827/8190) = 1354133/26

LCM of 479/338, 2827/8190

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 479/338,2827/8190

Given numbers are 479/338,2827/8190

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 479,2827

Least Common Multiple of Numerators i.e. LCM of 479,2827 is 1354133.

GCF of Denominators means GCF of 338,8190 as per the given fractions.

GCF of 338,8190 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,2827

LCM of Fractions 479/338,2827/8190 is 1354133/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 1354133

Least Common Multiple of 479,2827 with GCF Formula

Least Common Multiple of 479,2827 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 479,2827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,2827) = 1

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

GCF(479,2827) x common factors =1 x 1 = 1

LCM(479,2827) = ( 479 × 2827 ) / 1

LCM(479,2827) = 1354133 / 1

LCM(479,2827) = 1354133


Lets's calculate GCF of 338,8190

2 338, 8190
13 169, 4095
13, 315

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354133/26

Therefore the LCM of Fractions 479/338,2827/8190 is 1354133/26

Greatest Common Factor of 338,8190 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,8190 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Greatest Common Factor

We found the factors 338,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 338,8190 is 26.


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 479/338, 2827/8190

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 479/338, 2827/8190?

Answer: LCM of Numerators as per given numbers 479/338, 2827/8190 is

LCM of Numerators i.e. for 479,2827 is 1354133

GCF of denominators i.e. for 338,8190 is 26.

Thus, LCM of Fractions is 1354133/26.Finally, LCM of Fractions for 479/338, 2827/8190 is 1354133/26.