Least Common Multiple of 2349/110, 6706/6999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2349/110, 6706/6999 quickly i.e. 15752394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2349/110, 6706/6999 is 15752394.

LCM(2349/110, 6706/6999) = 15752394

LCM of 2349/110, 6706/6999

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 2349/110,6706/6999

Given numbers are 2349/110,6706/6999

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 2349,6706

Least Common Multiple of Numerators i.e. LCM of 2349,6706 is 15752394.

GCF of Denominators means GCF of 110,6999 as per the given fractions.

GCF of 110,6999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2349,6706

LCM of Fractions 2349/110,6706/6999 is 15752394

Given numbers has no common factors except 1. So, there LCM is their product i.e 15752394

Least Common Multiple of 2349,6706 with GCF Formula

Least Common Multiple of 2349,6706 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 2349,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2349,6706) = 1

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

GCF(2349,6706) x common factors =1 x 1 = 1

LCM(2349,6706) = ( 2349 × 6706 ) / 1

LCM(2349,6706) = 15752394 / 1

LCM(2349,6706) = 15752394


Lets's calculate GCF of 110,6999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15752394/1

Therefore the LCM of Fractions 2349/110,6706/6999 is 15752394

Greatest Common Factor of 110,6999 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,6999 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1,3,2333,6999

Greatest Common Factor

We found the factors 110,6999 . The biggest common factor number is the GCF number.
So the greatest common factor 110,6999 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2349/110, 6706/6999

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 2349/110, 6706/6999?

Answer: LCM of Numerators as per given numbers 2349/110, 6706/6999 is

LCM of Numerators i.e. for 2349,6706 is 15752394

GCF of denominators i.e. for 110,6999 is 1.

Thus, LCM of Fractions is 15752394.Finally, LCM of Fractions for 2349/110, 6706/6999 is 15752394.