Least Common Multiple of 6909/868, 8544/3290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6909/868, 8544/3290 quickly i.e. 1405488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6909/868, 8544/3290 is 1405488.

LCM(6909/868, 8544/3290) = 1405488

LCM of 6909/868, 8544/3290

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 6909/868,8544/3290

Given numbers are 6909/868,8544/3290

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 6909,8544

Least Common Multiple of Numerators i.e. LCM of 6909,8544 is 19676832.

GCF of Denominators means GCF of 868,3290 as per the given fractions.

GCF of 868,3290 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6909,8544

LCM of Fractions 6909/868,8544/3290 is 1405488

3 6909, 8544
2303, 2848

∴ So the LCM of the given numbers is 3 x 2303 x 2848 = 19676832

Least Common Multiple of 6909,8544 with GCF Formula

Least Common Multiple of 6909,8544 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 6909,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6909,8544) = 3

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

GCF(6909,8544) x common factors =3 x 1 = 3

LCM(6909,8544) = ( 6909 × 8544 ) / 3

LCM(6909,8544) = 59030496 / 3

LCM(6909,8544) = 19676832


Lets's calculate GCF of 868,3290

2 868, 3290
7 434, 1645
62, 235

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19676832/14

Therefore the LCM of Fractions 6909/868,8544/3290 is 1405488

Greatest Common Factor of 868,3290 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,3290 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Greatest Common Factor

We found the factors 868,3290 . The biggest common factor number is the GCF number.
So the greatest common factor 868,3290 is 14.


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 6909/868, 8544/3290

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 6909/868, 8544/3290?

Answer: LCM of Numerators as per given numbers 6909/868, 8544/3290 is

LCM of Numerators i.e. for 6909,8544 is 19676832

GCF of denominators i.e. for 868,3290 is 14.

Thus, LCM of Fractions is 1405488.Finally, LCM of Fractions for 6909/868, 8544/3290 is 1405488.