Least Common Multiple of 8406/678, 5767/2166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8406/678, 5767/2166 quickly i.e. 8079567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8406/678, 5767/2166 is 8079567.

LCM(8406/678, 5767/2166) = 8079567

LCM of 8406/678, 5767/2166

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 8406/678,5767/2166

Given numbers are 8406/678,5767/2166

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 8406,5767

Least Common Multiple of Numerators i.e. LCM of 8406,5767 is 48477402.

GCF of Denominators means GCF of 678,2166 as per the given fractions.

GCF of 678,2166 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8406,5767

LCM of Fractions 8406/678,5767/2166 is 8079567

Given numbers has no common factors except 1. So, there LCM is their product i.e 48477402

Least Common Multiple of 8406,5767 with GCF Formula

Least Common Multiple of 8406,5767 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 8406,5767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8406,5767) = 1

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

GCF(8406,5767) x common factors =1 x 1 = 1

LCM(8406,5767) = ( 8406 × 5767 ) / 1

LCM(8406,5767) = 48477402 / 1

LCM(8406,5767) = 48477402


Lets's calculate GCF of 678,2166

2 678, 2166
3 339, 1083
113, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48477402/6

Therefore the LCM of Fractions 8406/678,5767/2166 is 8079567

Greatest Common Factor of 678,2166 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,2166 By Matching Biggest Common Factor Method

Factors of 678

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

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

Factors of 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1,2,3,6,19,38,57,114,361,722,1083,2166

Greatest Common Factor

We found the factors 678,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 678,2166 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 8406/678, 5767/2166

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 8406/678, 5767/2166?

Answer: LCM of Numerators as per given numbers 8406/678, 5767/2166 is

LCM of Numerators i.e. for 8406,5767 is 48477402

GCF of denominators i.e. for 678,2166 is 6.

Thus, LCM of Fractions is 8079567.Finally, LCM of Fractions for 8406/678, 5767/2166 is 8079567.