Least Common Multiple of 3864/819, 3391/1752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3864/819, 3391/1752 quickly i.e. 4367608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3864/819, 3391/1752 is 4367608.

LCM(3864/819, 3391/1752) = 4367608

LCM of 3864/819, 3391/1752

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 3864/819,3391/1752

Given numbers are 3864/819,3391/1752

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 3864,3391

Least Common Multiple of Numerators i.e. LCM of 3864,3391 is 13102824.

GCF of Denominators means GCF of 819,1752 as per the given fractions.

GCF of 819,1752 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3864,3391

LCM of Fractions 3864/819,3391/1752 is 4367608

Given numbers has no common factors except 1. So, there LCM is their product i.e 13102824

Least Common Multiple of 3864,3391 with GCF Formula

Least Common Multiple of 3864,3391 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 3864,3391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3864,3391) = 1

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

GCF(3864,3391) x common factors =1 x 1 = 1

LCM(3864,3391) = ( 3864 × 3391 ) / 1

LCM(3864,3391) = 13102824 / 1

LCM(3864,3391) = 13102824


Lets's calculate GCF of 819,1752

3 819, 1752
273, 584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13102824/3

Therefore the LCM of Fractions 3864/819,3391/1752 is 4367608

Greatest Common Factor of 819,1752 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,1752 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Greatest Common Factor

We found the factors 819,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 819,1752 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 3864/819, 3391/1752

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 3864/819, 3391/1752?

Answer: LCM of Numerators as per given numbers 3864/819, 3391/1752 is

LCM of Numerators i.e. for 3864,3391 is 13102824

GCF of denominators i.e. for 819,1752 is 3.

Thus, LCM of Fractions is 4367608.Finally, LCM of Fractions for 3864/819, 3391/1752 is 4367608.