Least Common Multiple of 35/574, 820/579, 579/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/574, 820/579, 579/817 quickly i.e. 3323460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/574, 820/579, 579/817 is 3323460.

LCM(35/574, 820/579, 579/817) = 3323460

LCM of 35/574, 820/579, 579/817

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 35/574,820/579,579/817

Given numbers are 35/574,820/579,579/817

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 35,820,579

Least Common Multiple of Numerators i.e. LCM of 35,820,579 is 3323460.

GCF of Denominators means GCF of 574,579,817 as per the given fractions.

GCF of 574,579,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,820,579

LCM of Fractions 35/574,820/579,579/817 is 3323460

5 35, 820, 579
7, 164, 579

∴ So the LCM of the given numbers is 5 x 7 x 164 x 579 = 3323460

Least Common Multiple of 35,820,579 with GCF Formula

Least Common Multiple of 35,820,579 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 35,820,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,820,579) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,820,579) x common factors =1 x 5 = 5

LCM(35,820,579) = ( 35 × 820 × 579 ) / 5

LCM(35,820,579) = 16617300 / 5

LCM(35,820,579) = 3323460


Lets's calculate GCF of 574,579,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3323460/1

Therefore the LCM of Fractions 35/574,820/579,579/817 is 3323460

Greatest Common Factor of 574,579,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,579,817 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 579

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

1,3,193,579

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 574,579,817 . The biggest common factor number is the GCF number.
So the greatest common factor 574,579,817 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 35/574, 820/579, 579/817

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 35/574, 820/579, 579/817?

Answer: LCM of Numerators as per given numbers 35/574, 820/579, 579/817 is

LCM of Numerators i.e. for 35,820,579 is 3323460

GCF of denominators i.e. for 574,579,817 is 1.

Thus, LCM of Fractions is 3323460.Finally, LCM of Fractions for 35/574, 820/579, 579/817 is 3323460.