Least Common Multiple of 8682/504, 3609/8774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8682/504, 3609/8774 quickly i.e. 5222223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8682/504, 3609/8774 is 5222223.

LCM(8682/504, 3609/8774) = 5222223

LCM of 8682/504, 3609/8774

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 8682/504,3609/8774

Given numbers are 8682/504,3609/8774

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 8682,3609

Least Common Multiple of Numerators i.e. LCM of 8682,3609 is 10444446.

GCF of Denominators means GCF of 504,8774 as per the given fractions.

GCF of 504,8774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8682,3609

LCM of Fractions 8682/504,3609/8774 is 5222223

3 8682, 3609
2894, 1203

∴ So the LCM of the given numbers is 3 x 2894 x 1203 = 10444446

Least Common Multiple of 8682,3609 with GCF Formula

Least Common Multiple of 8682,3609 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 8682,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8682,3609) = 3

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

GCF(8682,3609) x common factors =3 x 1 = 3

LCM(8682,3609) = ( 8682 × 3609 ) / 3

LCM(8682,3609) = 31333338 / 3

LCM(8682,3609) = 10444446


Lets's calculate GCF of 504,8774

2 504, 8774
252, 4387

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10444446/2

Therefore the LCM of Fractions 8682/504,3609/8774 is 5222223

Greatest Common Factor of 504,8774 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,8774 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Greatest Common Factor

We found the factors 504,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 504,8774 is 2.


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 8682/504, 3609/8774

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 8682/504, 3609/8774?

Answer: LCM of Numerators as per given numbers 8682/504, 3609/8774 is

LCM of Numerators i.e. for 8682,3609 is 10444446

GCF of denominators i.e. for 504,8774 is 2.

Thus, LCM of Fractions is 5222223.Finally, LCM of Fractions for 8682/504, 3609/8774 is 5222223.