Least Common Multiple of 571/585, 796/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 571/585, 796/322 quickly i.e. 454516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/585, 796/322 is 454516.

LCM(571/585, 796/322) = 454516

LCM of 571/585, 796/322

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 571/585,796/322

Given numbers are 571/585,796/322

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 571,796

Least Common Multiple of Numerators i.e. LCM of 571,796 is 454516.

GCF of Denominators means GCF of 585,322 as per the given fractions.

GCF of 585,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,796

LCM of Fractions 571/585,796/322 is 454516

Given numbers has no common factors except 1. So, there LCM is their product i.e 454516

Least Common Multiple of 571,796 with GCF Formula

Least Common Multiple of 571,796 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 571,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,796) = 1

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

GCF(571,796) x common factors =1 x 1 = 1

LCM(571,796) = ( 571 × 796 ) / 1

LCM(571,796) = 454516 / 1

LCM(571,796) = 454516


Lets's calculate GCF of 585,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454516/1

Therefore the LCM of Fractions 571/585,796/322 is 454516

Greatest Common Factor of 585,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,322 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 585,322 . The biggest common factor number is the GCF number.
So the greatest common factor 585,322 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 571/585, 796/322

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 571/585, 796/322?

Answer: LCM of Numerators as per given numbers 571/585, 796/322 is

LCM of Numerators i.e. for 571,796 is 454516

GCF of denominators i.e. for 585,322 is 1.

Thus, LCM of Fractions is 454516.Finally, LCM of Fractions for 571/585, 796/322 is 454516.