Least Common Multiple of 83/444, 658/769, 839/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/444, 658/769, 839/576 quickly i.e. 45821146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/444, 658/769, 839/576 is 45821146.

LCM(83/444, 658/769, 839/576) = 45821146

LCM of 83/444, 658/769, 839/576

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 83/444,658/769,839/576

Given numbers are 83/444,658/769,839/576

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 83,658,839

Least Common Multiple of Numerators i.e. LCM of 83,658,839 is 45821146.

GCF of Denominators means GCF of 444,769,576 as per the given fractions.

GCF of 444,769,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,658,839

LCM of Fractions 83/444,658/769,839/576 is 45821146

Given numbers has no common factors except 1. So, there LCM is their product i.e 45821146

Least Common Multiple of 83,658,839 with GCF Formula

Least Common Multiple of 83,658,839 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 83,658,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,658,839) = 1

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

GCF(83,658,839) x common factors =1 x 1 = 1

LCM(83,658,839) = ( 83 × 658 × 839 ) / 1

LCM(83,658,839) = 45821146 / 1

LCM(83,658,839) = 45821146


Lets's calculate GCF of 444,769,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45821146/1

Therefore the LCM of Fractions 83/444,658/769,839/576 is 45821146

Greatest Common Factor of 444,769,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,769,576 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 769

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

1,769

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 444,769,576 . The biggest common factor number is the GCF number.
So the greatest common factor 444,769,576 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 83/444, 658/769, 839/576

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 83/444, 658/769, 839/576?

Answer: LCM of Numerators as per given numbers 83/444, 658/769, 839/576 is

LCM of Numerators i.e. for 83,658,839 is 45821146

GCF of denominators i.e. for 444,769,576 is 1.

Thus, LCM of Fractions is 45821146.Finally, LCM of Fractions for 83/444, 658/769, 839/576 is 45821146.