Least Common Multiple of 3069/522, 1136/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3069/522, 1136/300 quickly i.e. 581064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3069/522, 1136/300 is 581064.

LCM(3069/522, 1136/300) = 581064

LCM of 3069/522, 1136/300

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 3069/522,1136/300

Given numbers are 3069/522,1136/300

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 3069,1136

Least Common Multiple of Numerators i.e. LCM of 3069,1136 is 3486384.

GCF of Denominators means GCF of 522,300 as per the given fractions.

GCF of 522,300 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3069,1136

LCM of Fractions 3069/522,1136/300 is 581064

Given numbers has no common factors except 1. So, there LCM is their product i.e 3486384

Least Common Multiple of 3069,1136 with GCF Formula

Least Common Multiple of 3069,1136 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 3069,1136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3069,1136) = 1

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

GCF(3069,1136) x common factors =1 x 1 = 1

LCM(3069,1136) = ( 3069 × 1136 ) / 1

LCM(3069,1136) = 3486384 / 1

LCM(3069,1136) = 3486384


Lets's calculate GCF of 522,300

2 522, 300
3 261, 150
87, 50

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3486384/6

Therefore the LCM of Fractions 3069/522,1136/300 is 581064

Greatest Common Factor of 522,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,300 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 522,300 . The biggest common factor number is the GCF number.
So the greatest common factor 522,300 is 6.


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 3069/522, 1136/300

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 3069/522, 1136/300?

Answer: LCM of Numerators as per given numbers 3069/522, 1136/300 is

LCM of Numerators i.e. for 3069,1136 is 3486384

GCF of denominators i.e. for 522,300 is 6.

Thus, LCM of Fractions is 581064.Finally, LCM of Fractions for 3069/522, 1136/300 is 581064.