Least Common Multiple of 5822/317, 1594/8010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5822/317, 1594/8010 quickly i.e. 4640134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5822/317, 1594/8010 is 4640134.

LCM(5822/317, 1594/8010) = 4640134

LCM of 5822/317, 1594/8010

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 5822/317,1594/8010

Given numbers are 5822/317,1594/8010

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 5822,1594

Least Common Multiple of Numerators i.e. LCM of 5822,1594 is 4640134.

GCF of Denominators means GCF of 317,8010 as per the given fractions.

GCF of 317,8010 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5822,1594

LCM of Fractions 5822/317,1594/8010 is 4640134

2 5822, 1594
2911, 797

∴ So the LCM of the given numbers is 2 x 2911 x 797 = 4640134

Least Common Multiple of 5822,1594 with GCF Formula

Least Common Multiple of 5822,1594 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 5822,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5822,1594) = 2

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

GCF(5822,1594) x common factors =2 x 1 = 2

LCM(5822,1594) = ( 5822 × 1594 ) / 2

LCM(5822,1594) = 9280268 / 2

LCM(5822,1594) = 4640134


Lets's calculate GCF of 317,8010

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4640134/1

Therefore the LCM of Fractions 5822/317,1594/8010 is 4640134

Greatest Common Factor of 317,8010 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,8010 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010

Greatest Common Factor

We found the factors 317,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 317,8010 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 5822/317, 1594/8010

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 5822/317, 1594/8010?

Answer: LCM of Numerators as per given numbers 5822/317, 1594/8010 is

LCM of Numerators i.e. for 5822,1594 is 4640134

GCF of denominators i.e. for 317,8010 is 1.

Thus, LCM of Fractions is 4640134.Finally, LCM of Fractions for 5822/317, 1594/8010 is 4640134.