Least Common Multiple of 802/819, 4332/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/819, 4332/260 quickly i.e. 1737132/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/819, 4332/260 is 1737132/13.

LCM(802/819, 4332/260) = 1737132/13

LCM of 802/819, 4332/260

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 802/819,4332/260

Given numbers are 802/819,4332/260

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 802,4332

Least Common Multiple of Numerators i.e. LCM of 802,4332 is 1737132.

GCF of Denominators means GCF of 819,260 as per the given fractions.

GCF of 819,260 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,4332

LCM of Fractions 802/819,4332/260 is 1737132/13

2 802, 4332
401, 2166

∴ So the LCM of the given numbers is 2 x 401 x 2166 = 1737132

Least Common Multiple of 802,4332 with GCF Formula

Least Common Multiple of 802,4332 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 802,4332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,4332) = 2

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

GCF(802,4332) x common factors =2 x 1 = 2

LCM(802,4332) = ( 802 × 4332 ) / 2

LCM(802,4332) = 3474264 / 2

LCM(802,4332) = 1737132


Lets's calculate GCF of 819,260

13 819, 260
63, 20

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1737132/13

Therefore the LCM of Fractions 802/819,4332/260 is 1737132/13

Greatest Common Factor of 819,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,260 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 819,260 . The biggest common factor number is the GCF number.
So the greatest common factor 819,260 is 13.


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 802/819, 4332/260

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 802/819, 4332/260?

Answer: LCM of Numerators as per given numbers 802/819, 4332/260 is

LCM of Numerators i.e. for 802,4332 is 1737132

GCF of denominators i.e. for 819,260 is 13.

Thus, LCM of Fractions is 1737132/13.Finally, LCM of Fractions for 802/819, 4332/260 is 1737132/13.