Least Common Multiple of 7981/78, 6752/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7981/78, 6752/784 quickly i.e. 26943856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7981/78, 6752/784 is 26943856.

LCM(7981/78, 6752/784) = 26943856

LCM of 7981/78, 6752/784

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 7981/78,6752/784

Given numbers are 7981/78,6752/784

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 7981,6752

Least Common Multiple of Numerators i.e. LCM of 7981,6752 is 53887712.

GCF of Denominators means GCF of 78,784 as per the given fractions.

GCF of 78,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7981,6752

LCM of Fractions 7981/78,6752/784 is 26943856

Given numbers has no common factors except 1. So, there LCM is their product i.e 53887712

Least Common Multiple of 7981,6752 with GCF Formula

Least Common Multiple of 7981,6752 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 7981,6752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7981,6752) = 1

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

GCF(7981,6752) x common factors =1 x 1 = 1

LCM(7981,6752) = ( 7981 × 6752 ) / 1

LCM(7981,6752) = 53887712 / 1

LCM(7981,6752) = 53887712


Lets's calculate GCF of 78,784

2 78, 784
39, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53887712/2

Therefore the LCM of Fractions 7981/78,6752/784 is 26943856

Greatest Common Factor of 78,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,784 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 78,784 . The biggest common factor number is the GCF number.
So the greatest common factor 78,784 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7981/78, 6752/784

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 7981/78, 6752/784?

Answer: LCM of Numerators as per given numbers 7981/78, 6752/784 is

LCM of Numerators i.e. for 7981,6752 is 53887712

GCF of denominators i.e. for 78,784 is 2.

Thus, LCM of Fractions is 26943856.Finally, LCM of Fractions for 7981/78, 6752/784 is 26943856.