Least Common Multiple of 664/75, 979/84, 389/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/75, 979/84, 389/183 quickly i.e. 252871784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/75, 979/84, 389/183 is 252871784/3.

LCM(664/75, 979/84, 389/183) = 252871784/3

LCM of 664/75, 979/84, 389/183

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 664/75,979/84,389/183

Given numbers are 664/75,979/84,389/183

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 664,979,389

Least Common Multiple of Numerators i.e. LCM of 664,979,389 is 252871784.

GCF of Denominators means GCF of 75,84,183 as per the given fractions.

GCF of 75,84,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,979,389

LCM of Fractions 664/75,979/84,389/183 is 252871784/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 252871784

Least Common Multiple of 664,979,389 with GCF Formula

Least Common Multiple of 664,979,389 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 664,979,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,979,389) = 1

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

GCF(664,979,389) x common factors =1 x 1 = 1

LCM(664,979,389) = ( 664 × 979 × 389 ) / 1

LCM(664,979,389) = 252871784 / 1

LCM(664,979,389) = 252871784


Lets's calculate GCF of 75,84,183

3 75, 84, 183
25, 28, 61

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252871784/3

Therefore the LCM of Fractions 664/75,979/84,389/183 is 252871784/3

Greatest Common Factor of 75,84,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,84,183 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 75,84,183 . The biggest common factor number is the GCF number.
So the greatest common factor 75,84,183 is 3.


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 664/75, 979/84, 389/183

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 664/75, 979/84, 389/183?

Answer: LCM of Numerators as per given numbers 664/75, 979/84, 389/183 is

LCM of Numerators i.e. for 664,979,389 is 252871784

GCF of denominators i.e. for 75,84,183 is 3.

Thus, LCM of Fractions is 252871784/3.Finally, LCM of Fractions for 664/75, 979/84, 389/183 is 252871784/3.