Least Common Multiple of 819/398, 556/302, 343/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/398, 556/302, 343/599 quickly i.e. 22312836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/398, 556/302, 343/599 is 22312836.

LCM(819/398, 556/302, 343/599) = 22312836

LCM of 819/398, 556/302, 343/599

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 819/398,556/302,343/599

Given numbers are 819/398,556/302,343/599

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 819,556,343

Least Common Multiple of Numerators i.e. LCM of 819,556,343 is 22312836.

GCF of Denominators means GCF of 398,302,599 as per the given fractions.

GCF of 398,302,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,556,343

LCM of Fractions 819/398,556/302,343/599 is 22312836

7 819, 556, 343
117, 556, 49

∴ So the LCM of the given numbers is 7 x 117 x 556 x 49 = 22312836

Least Common Multiple of 819,556,343 with GCF Formula

Least Common Multiple of 819,556,343 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 819,556,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,556,343) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(819,556,343) x common factors =1 x 7 = 7

LCM(819,556,343) = ( 819 × 556 × 343 ) / 7

LCM(819,556,343) = 156189852 / 7

LCM(819,556,343) = 22312836


Lets's calculate GCF of 398,302,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22312836/1

Therefore the LCM of Fractions 819/398,556/302,343/599 is 22312836

Greatest Common Factor of 398,302,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,302,599 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 398,302,599 . The biggest common factor number is the GCF number.
So the greatest common factor 398,302,599 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 819/398, 556/302, 343/599

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 819/398, 556/302, 343/599?

Answer: LCM of Numerators as per given numbers 819/398, 556/302, 343/599 is

LCM of Numerators i.e. for 819,556,343 is 22312836

GCF of denominators i.e. for 398,302,599 is 1.

Thus, LCM of Fractions is 22312836.Finally, LCM of Fractions for 819/398, 556/302, 343/599 is 22312836.