Least Common Multiple of 678/11, 589/5072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/11, 589/5072 quickly i.e. 399342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/11, 589/5072 is 399342.

LCM(678/11, 589/5072) = 399342

LCM of 678/11, 589/5072

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 678/11,589/5072

Given numbers are 678/11,589/5072

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 678,589

Least Common Multiple of Numerators i.e. LCM of 678,589 is 399342.

GCF of Denominators means GCF of 11,5072 as per the given fractions.

GCF of 11,5072 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,589

LCM of Fractions 678/11,589/5072 is 399342

Given numbers has no common factors except 1. So, there LCM is their product i.e 399342

Least Common Multiple of 678,589 with GCF Formula

Least Common Multiple of 678,589 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 678,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,589) = 1

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

GCF(678,589) x common factors =1 x 1 = 1

LCM(678,589) = ( 678 × 589 ) / 1

LCM(678,589) = 399342 / 1

LCM(678,589) = 399342


Lets's calculate GCF of 11,5072

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399342/1

Therefore the LCM of Fractions 678/11,589/5072 is 399342

Greatest Common Factor of 11,5072 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,5072 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1,2,4,8,16,317,634,1268,2536,5072

Greatest Common Factor

We found the factors 11,5072 . The biggest common factor number is the GCF number.
So the greatest common factor 11,5072 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 678/11, 589/5072

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 678/11, 589/5072?

Answer: LCM of Numerators as per given numbers 678/11, 589/5072 is

LCM of Numerators i.e. for 678,589 is 399342

GCF of denominators i.e. for 11,5072 is 1.

Thus, LCM of Fractions is 399342.Finally, LCM of Fractions for 678/11, 589/5072 is 399342.