Least Common Multiple of 299/579, 879/390, 213/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/579, 879/390, 213/645 quickly i.e. 6220097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/579, 879/390, 213/645 is 6220097.

LCM(299/579, 879/390, 213/645) = 6220097

LCM of 299/579, 879/390, 213/645

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 299/579,879/390,213/645

Given numbers are 299/579,879/390,213/645

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 299,879,213

Least Common Multiple of Numerators i.e. LCM of 299,879,213 is 18660291.

GCF of Denominators means GCF of 579,390,645 as per the given fractions.

GCF of 579,390,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,879,213

LCM of Fractions 299/579,879/390,213/645 is 6220097

3 299, 879, 213
299, 293, 71

∴ So the LCM of the given numbers is 3 x 299 x 293 x 71 = 18660291

Least Common Multiple of 299,879,213 with GCF Formula

Least Common Multiple of 299,879,213 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 299,879,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,879,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(299,879,213) x common factors =1 x 3 = 3

LCM(299,879,213) = ( 299 × 879 × 213 ) / 3

LCM(299,879,213) = 55980873 / 3

LCM(299,879,213) = 18660291


Lets's calculate GCF of 579,390,645

3 579, 390, 645
193, 130, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18660291/3

Therefore the LCM of Fractions 299/579,879/390,213/645 is 6220097

Greatest Common Factor of 579,390,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,390,645 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 579,390,645 . The biggest common factor number is the GCF number.
So the greatest common factor 579,390,645 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 299/579, 879/390, 213/645

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 299/579, 879/390, 213/645?

Answer: LCM of Numerators as per given numbers 299/579, 879/390, 213/645 is

LCM of Numerators i.e. for 299,879,213 is 18660291

GCF of denominators i.e. for 579,390,645 is 3.

Thus, LCM of Fractions is 6220097.Finally, LCM of Fractions for 299/579, 879/390, 213/645 is 6220097.