Least Common Multiple of 6324/39, 4654/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6324/39, 4654/516 quickly i.e. 4905316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6324/39, 4654/516 is 4905316.

LCM(6324/39, 4654/516) = 4905316

LCM of 6324/39, 4654/516

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 6324/39,4654/516

Given numbers are 6324/39,4654/516

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 6324,4654

Least Common Multiple of Numerators i.e. LCM of 6324,4654 is 14715948.

GCF of Denominators means GCF of 39,516 as per the given fractions.

GCF of 39,516 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6324,4654

LCM of Fractions 6324/39,4654/516 is 4905316

2 6324, 4654
3162, 2327

∴ So the LCM of the given numbers is 2 x 3162 x 2327 = 14715948

Least Common Multiple of 6324,4654 with GCF Formula

Least Common Multiple of 6324,4654 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 6324,4654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6324,4654) = 2

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

GCF(6324,4654) x common factors =2 x 1 = 2

LCM(6324,4654) = ( 6324 × 4654 ) / 2

LCM(6324,4654) = 29431896 / 2

LCM(6324,4654) = 14715948


Lets's calculate GCF of 39,516

3 39, 516
13, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14715948/3

Therefore the LCM of Fractions 6324/39,4654/516 is 4905316

Greatest Common Factor of 39,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,516 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 39,516 . The biggest common factor number is the GCF number.
So the greatest common factor 39,516 is 3.


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 6324/39, 4654/516

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 6324/39, 4654/516?

Answer: LCM of Numerators as per given numbers 6324/39, 4654/516 is

LCM of Numerators i.e. for 6324,4654 is 14715948

GCF of denominators i.e. for 39,516 is 3.

Thus, LCM of Fractions is 4905316.Finally, LCM of Fractions for 6324/39, 4654/516 is 4905316.