Least Common Multiple of 7372/64, 6881/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7372/64, 6881/678 quickly i.e. 25363366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7372/64, 6881/678 is 25363366.

LCM(7372/64, 6881/678) = 25363366

LCM of 7372/64, 6881/678

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 7372/64,6881/678

Given numbers are 7372/64,6881/678

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 7372,6881

Least Common Multiple of Numerators i.e. LCM of 7372,6881 is 50726732.

GCF of Denominators means GCF of 64,678 as per the given fractions.

GCF of 64,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7372,6881

LCM of Fractions 7372/64,6881/678 is 25363366

Given numbers has no common factors except 1. So, there LCM is their product i.e 50726732

Least Common Multiple of 7372,6881 with GCF Formula

Least Common Multiple of 7372,6881 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 7372,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7372,6881) = 1

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

GCF(7372,6881) x common factors =1 x 1 = 1

LCM(7372,6881) = ( 7372 × 6881 ) / 1

LCM(7372,6881) = 50726732 / 1

LCM(7372,6881) = 50726732


Lets's calculate GCF of 64,678

2 64, 678
32, 339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50726732/2

Therefore the LCM of Fractions 7372/64,6881/678 is 25363366

Greatest Common Factor of 64,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,678 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 64,678 . The biggest common factor number is the GCF number.
So the greatest common factor 64,678 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7372/64, 6881/678

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 7372/64, 6881/678?

Answer: LCM of Numerators as per given numbers 7372/64, 6881/678 is

LCM of Numerators i.e. for 7372,6881 is 50726732

GCF of denominators i.e. for 64,678 is 2.

Thus, LCM of Fractions is 25363366.Finally, LCM of Fractions for 7372/64, 6881/678 is 25363366.