Least Common Multiple of 3834/644, 6351/6555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3834/644, 6351/6555 quickly i.e. 8116578/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3834/644, 6351/6555 is 8116578/23.

LCM(3834/644, 6351/6555) = 8116578/23

LCM of 3834/644, 6351/6555

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 3834/644,6351/6555

Given numbers are 3834/644,6351/6555

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 3834,6351

Least Common Multiple of Numerators i.e. LCM of 3834,6351 is 8116578.

GCF of Denominators means GCF of 644,6555 as per the given fractions.

GCF of 644,6555 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3834,6351

LCM of Fractions 3834/644,6351/6555 is 8116578/23

3 3834, 6351
1278, 2117

∴ So the LCM of the given numbers is 3 x 1278 x 2117 = 8116578

Least Common Multiple of 3834,6351 with GCF Formula

Least Common Multiple of 3834,6351 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 3834,6351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3834,6351) = 3

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

GCF(3834,6351) x common factors =3 x 1 = 3

LCM(3834,6351) = ( 3834 × 6351 ) / 3

LCM(3834,6351) = 24349734 / 3

LCM(3834,6351) = 8116578


Lets's calculate GCF of 644,6555

23 644, 6555
28, 285

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8116578/23

Therefore the LCM of Fractions 3834/644,6351/6555 is 8116578/23

Greatest Common Factor of 644,6555 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,6555 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Greatest Common Factor

We found the factors 644,6555 . The biggest common factor number is the GCF number.
So the greatest common factor 644,6555 is 23.


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 3834/644, 6351/6555

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 3834/644, 6351/6555?

Answer: LCM of Numerators as per given numbers 3834/644, 6351/6555 is

LCM of Numerators i.e. for 3834,6351 is 8116578

GCF of denominators i.e. for 644,6555 is 23.

Thus, LCM of Fractions is 8116578/23.Finally, LCM of Fractions for 3834/644, 6351/6555 is 8116578/23.