Least Common Multiple of 6819/396, 1656/9114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6819/396, 1656/9114 quickly i.e. 627348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6819/396, 1656/9114 is 627348.

LCM(6819/396, 1656/9114) = 627348

LCM of 6819/396, 1656/9114

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 6819/396,1656/9114

Given numbers are 6819/396,1656/9114

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 6819,1656

Least Common Multiple of Numerators i.e. LCM of 6819,1656 is 3764088.

GCF of Denominators means GCF of 396,9114 as per the given fractions.

GCF of 396,9114 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6819,1656

LCM of Fractions 6819/396,1656/9114 is 627348

3 6819, 1656
2273, 552

∴ So the LCM of the given numbers is 3 x 2273 x 552 = 3764088

Least Common Multiple of 6819,1656 with GCF Formula

Least Common Multiple of 6819,1656 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 6819,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6819,1656) = 3

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

GCF(6819,1656) x common factors =3 x 1 = 3

LCM(6819,1656) = ( 6819 × 1656 ) / 3

LCM(6819,1656) = 11292264 / 3

LCM(6819,1656) = 3764088


Lets's calculate GCF of 396,9114

2 396, 9114
3 198, 4557
66, 1519

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3764088/6

Therefore the LCM of Fractions 6819/396,1656/9114 is 627348

Greatest Common Factor of 396,9114 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,9114 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114

Greatest Common Factor

We found the factors 396,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 396,9114 is 6.


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 6819/396, 1656/9114

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 6819/396, 1656/9114?

Answer: LCM of Numerators as per given numbers 6819/396, 1656/9114 is

LCM of Numerators i.e. for 6819,1656 is 3764088

GCF of denominators i.e. for 396,9114 is 6.

Thus, LCM of Fractions is 627348.Finally, LCM of Fractions for 6819/396, 1656/9114 is 627348.