Least Common Multiple of 579/66, 108/34, 635/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/66, 108/34, 635/283 quickly i.e. 13235940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/66, 108/34, 635/283 is 13235940.

LCM(579/66, 108/34, 635/283) = 13235940

LCM of 579/66, 108/34, 635/283

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 579/66,108/34,635/283

Given numbers are 579/66,108/34,635/283

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 579,108,635

Least Common Multiple of Numerators i.e. LCM of 579,108,635 is 13235940.

GCF of Denominators means GCF of 66,34,283 as per the given fractions.

GCF of 66,34,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,108,635

LCM of Fractions 579/66,108/34,635/283 is 13235940

3 579, 108, 635
193, 36, 635

∴ So the LCM of the given numbers is 3 x 193 x 36 x 635 = 13235940

Least Common Multiple of 579,108,635 with GCF Formula

Least Common Multiple of 579,108,635 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 579,108,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,108,635) = 1

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

GCF(579,108,635) x common factors =1 x 3 = 3

LCM(579,108,635) = ( 579 × 108 × 635 ) / 3

LCM(579,108,635) = 39707820 / 3

LCM(579,108,635) = 13235940


Lets's calculate GCF of 66,34,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13235940/1

Therefore the LCM of Fractions 579/66,108/34,635/283 is 13235940

Greatest Common Factor of 66,34,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,34,283 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 66,34,283 . The biggest common factor number is the GCF number.
So the greatest common factor 66,34,283 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 579/66, 108/34, 635/283

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 579/66, 108/34, 635/283?

Answer: LCM of Numerators as per given numbers 579/66, 108/34, 635/283 is

LCM of Numerators i.e. for 579,108,635 is 13235940

GCF of denominators i.e. for 66,34,283 is 1.

Thus, LCM of Fractions is 13235940.Finally, LCM of Fractions for 579/66, 108/34, 635/283 is 13235940.