Least Common Multiple of 78/89, 78/357, 243/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/89, 78/357, 243/501 quickly i.e. 6318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/89, 78/357, 243/501 is 6318.

LCM(78/89, 78/357, 243/501) = 6318

LCM of 78/89, 78/357, 243/501

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 78/89,78/357,243/501

Given numbers are 78/89,78/357,243/501

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 78,78,243

Least Common Multiple of Numerators i.e. LCM of 78,78,243 is 6318.

GCF of Denominators means GCF of 89,357,501 as per the given fractions.

GCF of 89,357,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,78,243

LCM of Fractions 78/89,78/357,243/501 is 6318

2 78, 78, 243
3 39, 39, 243
13 13, 13, 81
1, 1, 81

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 81 = 6318

Least Common Multiple of 78,78,243 with GCF Formula

Least Common Multiple of 78,78,243 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 78,78,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,78,243) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(78,78,243) x common factors =3 x 78 = 234

LCM(78,78,243) = ( 78 × 78 × 243 ) / 234

LCM(78,78,243) = 1478412 / 234

LCM(78,78,243) = 6318


Lets's calculate GCF of 89,357,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6318/1

Therefore the LCM of Fractions 78/89,78/357,243/501 is 6318

Greatest Common Factor of 89,357,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,357,501 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 89,357,501 . The biggest common factor number is the GCF number.
So the greatest common factor 89,357,501 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 78/89, 78/357, 243/501

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 78/89, 78/357, 243/501?

Answer: LCM of Numerators as per given numbers 78/89, 78/357, 243/501 is

LCM of Numerators i.e. for 78,78,243 is 6318

GCF of denominators i.e. for 89,357,501 is 1.

Thus, LCM of Fractions is 6318.Finally, LCM of Fractions for 78/89, 78/357, 243/501 is 6318.