Least Common Multiple of 678/560, 3279/5934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 678/560, 3279/5934 quickly i.e. 370527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/560, 3279/5934 is 370527.

LCM(678/560, 3279/5934) = 370527

LCM of 678/560, 3279/5934

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 678/560,3279/5934

Given numbers are 678/560,3279/5934

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 678,3279

Least Common Multiple of Numerators i.e. LCM of 678,3279 is 741054.

GCF of Denominators means GCF of 560,5934 as per the given fractions.

GCF of 560,5934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,3279

LCM of Fractions 678/560,3279/5934 is 370527

3 678, 3279
226, 1093

∴ So the LCM of the given numbers is 3 x 226 x 1093 = 741054

Least Common Multiple of 678,3279 with GCF Formula

Least Common Multiple of 678,3279 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 678,3279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,3279) = 3

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

GCF(678,3279) x common factors =3 x 1 = 3

LCM(678,3279) = ( 678 × 3279 ) / 3

LCM(678,3279) = 2223162 / 3

LCM(678,3279) = 741054


Lets's calculate GCF of 560,5934

2 560, 5934
280, 2967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 741054/2

Therefore the LCM of Fractions 678/560,3279/5934 is 370527

Greatest Common Factor of 560,5934 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,5934 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934

Greatest Common Factor

We found the factors 560,5934 . The biggest common factor number is the GCF number.
So the greatest common factor 560,5934 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 678/560, 3279/5934

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 678/560, 3279/5934?

Answer: LCM of Numerators as per given numbers 678/560, 3279/5934 is

LCM of Numerators i.e. for 678,3279 is 741054

GCF of denominators i.e. for 560,5934 is 2.

Thus, LCM of Fractions is 370527.Finally, LCM of Fractions for 678/560, 3279/5934 is 370527.