Least Common Multiple of 9068/513, 8388/9004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9068/513, 8388/9004 quickly i.e. 19015596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9068/513, 8388/9004 is 19015596.

LCM(9068/513, 8388/9004) = 19015596

LCM of 9068/513, 8388/9004

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 9068/513,8388/9004

Given numbers are 9068/513,8388/9004

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 9068,8388

Least Common Multiple of Numerators i.e. LCM of 9068,8388 is 19015596.

GCF of Denominators means GCF of 513,9004 as per the given fractions.

GCF of 513,9004 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9068,8388

LCM of Fractions 9068/513,8388/9004 is 19015596

2 9068, 8388
2 4534, 4194
2267, 2097

∴ So the LCM of the given numbers is 2 x 2 x 2267 x 2097 = 19015596

Least Common Multiple of 9068,8388 with GCF Formula

Least Common Multiple of 9068,8388 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 9068,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9068,8388) = 4

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

GCF(9068,8388) x common factors =4 x 1 = 4

LCM(9068,8388) = ( 9068 × 8388 ) / 4

LCM(9068,8388) = 76062384 / 4

LCM(9068,8388) = 19015596


Lets's calculate GCF of 513,9004

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19015596/1

Therefore the LCM of Fractions 9068/513,8388/9004 is 19015596

Greatest Common Factor of 513,9004 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,9004 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Greatest Common Factor

We found the factors 513,9004 . The biggest common factor number is the GCF number.
So the greatest common factor 513,9004 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 9068/513, 8388/9004

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 9068/513, 8388/9004?

Answer: LCM of Numerators as per given numbers 9068/513, 8388/9004 is

LCM of Numerators i.e. for 9068,8388 is 19015596

GCF of denominators i.e. for 513,9004 is 1.

Thus, LCM of Fractions is 19015596.Finally, LCM of Fractions for 9068/513, 8388/9004 is 19015596.