Least Common Multiple of 52/589, 6720/9066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/589, 6720/9066 quickly i.e. 87360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/589, 6720/9066 is 87360.

LCM(52/589, 6720/9066) = 87360

LCM of 52/589, 6720/9066

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 52/589,6720/9066

Given numbers are 52/589,6720/9066

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 52,6720

Least Common Multiple of Numerators i.e. LCM of 52,6720 is 87360.

GCF of Denominators means GCF of 589,9066 as per the given fractions.

GCF of 589,9066 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,6720

LCM of Fractions 52/589,6720/9066 is 87360

2 52, 6720
2 26, 3360
13, 1680

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1680 = 87360

Least Common Multiple of 52,6720 with GCF Formula

Least Common Multiple of 52,6720 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 52,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6720) = 4

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

GCF(52,6720) x common factors =4 x 1 = 4

LCM(52,6720) = ( 52 × 6720 ) / 4

LCM(52,6720) = 349440 / 4

LCM(52,6720) = 87360


Lets's calculate GCF of 589,9066

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87360/1

Therefore the LCM of Fractions 52/589,6720/9066 is 87360

Greatest Common Factor of 589,9066 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,9066 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 9066

List of positive integer factors of 9066 that divides 9066 without a remainder.

1,2,3,6,1511,3022,4533,9066

Greatest Common Factor

We found the factors 589,9066 . The biggest common factor number is the GCF number.
So the greatest common factor 589,9066 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 52/589, 6720/9066

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 52/589, 6720/9066?

Answer: LCM of Numerators as per given numbers 52/589, 6720/9066 is

LCM of Numerators i.e. for 52,6720 is 87360

GCF of denominators i.e. for 589,9066 is 1.

Thus, LCM of Fractions is 87360.Finally, LCM of Fractions for 52/589, 6720/9066 is 87360.