Least Common Multiple of 8214/330, 3846/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8214/330, 3846/634 quickly i.e. 2632587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8214/330, 3846/634 is 2632587.

LCM(8214/330, 3846/634) = 2632587

LCM of 8214/330, 3846/634

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 8214/330,3846/634

Given numbers are 8214/330,3846/634

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 8214,3846

Least Common Multiple of Numerators i.e. LCM of 8214,3846 is 5265174.

GCF of Denominators means GCF of 330,634 as per the given fractions.

GCF of 330,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8214,3846

LCM of Fractions 8214/330,3846/634 is 2632587

2 8214, 3846
3 4107, 1923
1369, 641

∴ So the LCM of the given numbers is 2 x 3 x 1369 x 641 = 5265174

Least Common Multiple of 8214,3846 with GCF Formula

Least Common Multiple of 8214,3846 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 8214,3846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8214,3846) = 6

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

GCF(8214,3846) x common factors =6 x 1 = 6

LCM(8214,3846) = ( 8214 × 3846 ) / 6

LCM(8214,3846) = 31591044 / 6

LCM(8214,3846) = 5265174


Lets's calculate GCF of 330,634

2 330, 634
165, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5265174/2

Therefore the LCM of Fractions 8214/330,3846/634 is 2632587

Greatest Common Factor of 330,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,634 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 330,634 . The biggest common factor number is the GCF number.
So the greatest common factor 330,634 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 8214/330, 3846/634

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 8214/330, 3846/634?

Answer: LCM of Numerators as per given numbers 8214/330, 3846/634 is

LCM of Numerators i.e. for 8214,3846 is 5265174

GCF of denominators i.e. for 330,634 is 2.

Thus, LCM of Fractions is 2632587.Finally, LCM of Fractions for 8214/330, 3846/634 is 2632587.