Least Common Multiple of 8484/769, 4881/1933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8484/769, 4881/1933 quickly i.e. 13803468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8484/769, 4881/1933 is 13803468.

LCM(8484/769, 4881/1933) = 13803468

LCM of 8484/769, 4881/1933

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 8484/769,4881/1933

Given numbers are 8484/769,4881/1933

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 8484,4881

Least Common Multiple of Numerators i.e. LCM of 8484,4881 is 13803468.

GCF of Denominators means GCF of 769,1933 as per the given fractions.

GCF of 769,1933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8484,4881

LCM of Fractions 8484/769,4881/1933 is 13803468

3 8484, 4881
2828, 1627

∴ So the LCM of the given numbers is 3 x 2828 x 1627 = 13803468

Least Common Multiple of 8484,4881 with GCF Formula

Least Common Multiple of 8484,4881 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 8484,4881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8484,4881) = 3

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

GCF(8484,4881) x common factors =3 x 1 = 3

LCM(8484,4881) = ( 8484 × 4881 ) / 3

LCM(8484,4881) = 41410404 / 3

LCM(8484,4881) = 13803468


Lets's calculate GCF of 769,1933

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13803468/1

Therefore the LCM of Fractions 8484/769,4881/1933 is 13803468

Greatest Common Factor of 769,1933 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,1933 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 1933

List of positive integer factors of 1933 that divides 1933 without a remainder.

1,1933

Greatest Common Factor

We found the factors 769,1933 . The biggest common factor number is the GCF number.
So the greatest common factor 769,1933 is 1.


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 8484/769, 4881/1933

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 8484/769, 4881/1933?

Answer: LCM of Numerators as per given numbers 8484/769, 4881/1933 is

LCM of Numerators i.e. for 8484,4881 is 13803468

GCF of denominators i.e. for 769,1933 is 1.

Thus, LCM of Fractions is 13803468.Finally, LCM of Fractions for 8484/769, 4881/1933 is 13803468.