Least Common Multiple of 5679/18, 5455/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5679/18, 5455/207 quickly i.e. 3442105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5679/18, 5455/207 is 3442105.

LCM(5679/18, 5455/207) = 3442105

LCM of 5679/18, 5455/207

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 5679/18,5455/207

Given numbers are 5679/18,5455/207

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 5679,5455

Least Common Multiple of Numerators i.e. LCM of 5679,5455 is 30978945.

GCF of Denominators means GCF of 18,207 as per the given fractions.

GCF of 18,207 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5679,5455

LCM of Fractions 5679/18,5455/207 is 3442105

Given numbers has no common factors except 1. So, there LCM is their product i.e 30978945

Least Common Multiple of 5679,5455 with GCF Formula

Least Common Multiple of 5679,5455 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 5679,5455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5679,5455) = 1

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

GCF(5679,5455) x common factors =1 x 1 = 1

LCM(5679,5455) = ( 5679 × 5455 ) / 1

LCM(5679,5455) = 30978945 / 1

LCM(5679,5455) = 30978945


Lets's calculate GCF of 18,207

3 18, 207
3 6, 69
2, 23

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30978945/9

Therefore the LCM of Fractions 5679/18,5455/207 is 3442105

Greatest Common Factor of 18,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,207 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 18,207 . The biggest common factor number is the GCF number.
So the greatest common factor 18,207 is 9.


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 5679/18, 5455/207

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 5679/18, 5455/207?

Answer: LCM of Numerators as per given numbers 5679/18, 5455/207 is

LCM of Numerators i.e. for 5679,5455 is 30978945

GCF of denominators i.e. for 18,207 is 9.

Thus, LCM of Fractions is 3442105.Finally, LCM of Fractions for 5679/18, 5455/207 is 3442105.