Least Common Multiple of 6696/667, 9238/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6696/667, 9238/981 quickly i.e. 997704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6696/667, 9238/981 is 997704.

LCM(6696/667, 9238/981) = 997704

LCM of 6696/667, 9238/981

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 6696/667,9238/981

Given numbers are 6696/667,9238/981

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 6696,9238

Least Common Multiple of Numerators i.e. LCM of 6696,9238 is 997704.

GCF of Denominators means GCF of 667,981 as per the given fractions.

GCF of 667,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6696,9238

LCM of Fractions 6696/667,9238/981 is 997704

2 6696, 9238
31 3348, 4619
108, 149

∴ So the LCM of the given numbers is 2 x 31 x 108 x 149 = 997704

Least Common Multiple of 6696,9238 with GCF Formula

Least Common Multiple of 6696,9238 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 6696,9238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6696,9238) = 62

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

GCF(6696,9238) x common factors =62 x 1 = 62

LCM(6696,9238) = ( 6696 × 9238 ) / 62

LCM(6696,9238) = 61857648 / 62

LCM(6696,9238) = 997704


Lets's calculate GCF of 667,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997704/1

Therefore the LCM of Fractions 6696/667,9238/981 is 997704

Greatest Common Factor of 667,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,981 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 667,981 . The biggest common factor number is the GCF number.
So the greatest common factor 667,981 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 6696/667, 9238/981

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 6696/667, 9238/981?

Answer: LCM of Numerators as per given numbers 6696/667, 9238/981 is

LCM of Numerators i.e. for 6696,9238 is 997704

GCF of denominators i.e. for 667,981 is 1.

Thus, LCM of Fractions is 997704.Finally, LCM of Fractions for 6696/667, 9238/981 is 997704.