Least Common Multiple of 9183/588, 4960/6864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9183/588, 4960/6864 quickly i.e. 3795640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9183/588, 4960/6864 is 3795640.

LCM(9183/588, 4960/6864) = 3795640

LCM of 9183/588, 4960/6864

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 9183/588,4960/6864

Given numbers are 9183/588,4960/6864

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 9183,4960

Least Common Multiple of Numerators i.e. LCM of 9183,4960 is 45547680.

GCF of Denominators means GCF of 588,6864 as per the given fractions.

GCF of 588,6864 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9183,4960

LCM of Fractions 9183/588,4960/6864 is 3795640

Given numbers has no common factors except 1. So, there LCM is their product i.e 45547680

Least Common Multiple of 9183,4960 with GCF Formula

Least Common Multiple of 9183,4960 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 9183,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9183,4960) = 1

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

GCF(9183,4960) x common factors =1 x 1 = 1

LCM(9183,4960) = ( 9183 × 4960 ) / 1

LCM(9183,4960) = 45547680 / 1

LCM(9183,4960) = 45547680


Lets's calculate GCF of 588,6864

2 588, 6864
2 294, 3432
3 147, 1716
49, 572

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45547680/12

Therefore the LCM of Fractions 9183/588,4960/6864 is 3795640

Greatest Common Factor of 588,6864 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,6864 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864

Greatest Common Factor

We found the factors 588,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 588,6864 is 12.


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 9183/588, 4960/6864

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 9183/588, 4960/6864?

Answer: LCM of Numerators as per given numbers 9183/588, 4960/6864 is

LCM of Numerators i.e. for 9183,4960 is 45547680

GCF of denominators i.e. for 588,6864 is 12.

Thus, LCM of Fractions is 3795640.Finally, LCM of Fractions for 9183/588, 4960/6864 is 3795640.