Least Common Multiple of 585/972, 3824/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/972, 3824/806 quickly i.e. 1118520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/972, 3824/806 is 1118520.

LCM(585/972, 3824/806) = 1118520

LCM of 585/972, 3824/806

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 585/972,3824/806

Given numbers are 585/972,3824/806

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 585,3824

Least Common Multiple of Numerators i.e. LCM of 585,3824 is 2237040.

GCF of Denominators means GCF of 972,806 as per the given fractions.

GCF of 972,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,3824

LCM of Fractions 585/972,3824/806 is 1118520

Given numbers has no common factors except 1. So, there LCM is their product i.e 2237040

Least Common Multiple of 585,3824 with GCF Formula

Least Common Multiple of 585,3824 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 585,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,3824) = 1

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

GCF(585,3824) x common factors =1 x 1 = 1

LCM(585,3824) = ( 585 × 3824 ) / 1

LCM(585,3824) = 2237040 / 1

LCM(585,3824) = 2237040


Lets's calculate GCF of 972,806

2 972, 806
486, 403

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2237040/2

Therefore the LCM of Fractions 585/972,3824/806 is 1118520

Greatest Common Factor of 972,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,806 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 972,806 . The biggest common factor number is the GCF number.
So the greatest common factor 972,806 is 2.


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 585/972, 3824/806

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 585/972, 3824/806?

Answer: LCM of Numerators as per given numbers 585/972, 3824/806 is

LCM of Numerators i.e. for 585,3824 is 2237040

GCF of denominators i.e. for 972,806 is 2.

Thus, LCM of Fractions is 1118520.Finally, LCM of Fractions for 585/972, 3824/806 is 1118520.