Least Common Multiple of 89/718, 20/664, 365/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/718, 20/664, 365/392 quickly i.e. 64970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/718, 20/664, 365/392 is 64970.

LCM(89/718, 20/664, 365/392) = 64970

LCM of 89/718, 20/664, 365/392

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 89/718,20/664,365/392

Given numbers are 89/718,20/664,365/392

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 89,20,365

Least Common Multiple of Numerators i.e. LCM of 89,20,365 is 129940.

GCF of Denominators means GCF of 718,664,392 as per the given fractions.

GCF of 718,664,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,20,365

LCM of Fractions 89/718,20/664,365/392 is 64970

5 89, 20, 365
89, 4, 73

∴ So the LCM of the given numbers is 5 x 89 x 4 x 73 = 129940

Least Common Multiple of 89,20,365 with GCF Formula

Least Common Multiple of 89,20,365 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 89,20,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,20,365) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(89,20,365) x common factors =1 x 5 = 5

LCM(89,20,365) = ( 89 × 20 × 365 ) / 5

LCM(89,20,365) = 649700 / 5

LCM(89,20,365) = 129940


Lets's calculate GCF of 718,664,392

2 718, 664, 392
359, 332, 196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129940/2

Therefore the LCM of Fractions 89/718,20/664,365/392 is 64970

Greatest Common Factor of 718,664,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,664,392 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 718,664,392 . The biggest common factor number is the GCF number.
So the greatest common factor 718,664,392 is 2.


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 89/718, 20/664, 365/392

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 89/718, 20/664, 365/392?

Answer: LCM of Numerators as per given numbers 89/718, 20/664, 365/392 is

LCM of Numerators i.e. for 89,20,365 is 129940

GCF of denominators i.e. for 718,664,392 is 2.

Thus, LCM of Fractions is 64970.Finally, LCM of Fractions for 89/718, 20/664, 365/392 is 64970.