Least Common Multiple of 83/441, 359/961, 976/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/441, 359/961, 976/424 quickly i.e. 29081872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/441, 359/961, 976/424 is 29081872.

LCM(83/441, 359/961, 976/424) = 29081872

LCM of 83/441, 359/961, 976/424

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 83/441,359/961,976/424

Given numbers are 83/441,359/961,976/424

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 83,359,976

Least Common Multiple of Numerators i.e. LCM of 83,359,976 is 29081872.

GCF of Denominators means GCF of 441,961,424 as per the given fractions.

GCF of 441,961,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,359,976

LCM of Fractions 83/441,359/961,976/424 is 29081872

Given numbers has no common factors except 1. So, there LCM is their product i.e 29081872

Least Common Multiple of 83,359,976 with GCF Formula

Least Common Multiple of 83,359,976 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 83,359,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,359,976) = 1

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

GCF(83,359,976) x common factors =1 x 1 = 1

LCM(83,359,976) = ( 83 × 359 × 976 ) / 1

LCM(83,359,976) = 29081872 / 1

LCM(83,359,976) = 29081872


Lets's calculate GCF of 441,961,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29081872/1

Therefore the LCM of Fractions 83/441,359/961,976/424 is 29081872

Greatest Common Factor of 441,961,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,961,424 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 441,961,424 . The biggest common factor number is the GCF number.
So the greatest common factor 441,961,424 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 83/441, 359/961, 976/424

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 83/441, 359/961, 976/424?

Answer: LCM of Numerators as per given numbers 83/441, 359/961, 976/424 is

LCM of Numerators i.e. for 83,359,976 is 29081872

GCF of denominators i.e. for 441,961,424 is 1.

Thus, LCM of Fractions is 29081872.Finally, LCM of Fractions for 83/441, 359/961, 976/424 is 29081872.