Least Common Multiple of 6731/998, 8114/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6731/998, 8114/208 quickly i.e. 27307667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6731/998, 8114/208 is 27307667.

LCM(6731/998, 8114/208) = 27307667

LCM of 6731/998, 8114/208

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 6731/998,8114/208

Given numbers are 6731/998,8114/208

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 6731,8114

Least Common Multiple of Numerators i.e. LCM of 6731,8114 is 54615334.

GCF of Denominators means GCF of 998,208 as per the given fractions.

GCF of 998,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6731,8114

LCM of Fractions 6731/998,8114/208 is 27307667

Given numbers has no common factors except 1. So, there LCM is their product i.e 54615334

Least Common Multiple of 6731,8114 with GCF Formula

Least Common Multiple of 6731,8114 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 6731,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6731,8114) = 1

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

GCF(6731,8114) x common factors =1 x 1 = 1

LCM(6731,8114) = ( 6731 × 8114 ) / 1

LCM(6731,8114) = 54615334 / 1

LCM(6731,8114) = 54615334


Lets's calculate GCF of 998,208

2 998, 208
499, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54615334/2

Therefore the LCM of Fractions 6731/998,8114/208 is 27307667

Greatest Common Factor of 998,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,208 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 998,208 . The biggest common factor number is the GCF number.
So the greatest common factor 998,208 is 2.


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 6731/998, 8114/208

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 6731/998, 8114/208?

Answer: LCM of Numerators as per given numbers 6731/998, 8114/208 is

LCM of Numerators i.e. for 6731,8114 is 54615334

GCF of denominators i.e. for 998,208 is 2.

Thus, LCM of Fractions is 27307667.Finally, LCM of Fractions for 6731/998, 8114/208 is 27307667.