Least Common Multiple of 441/123, 571/340, 669/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/123, 571/340, 669/849 quickly i.e. 56153853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/123, 571/340, 669/849 is 56153853.

LCM(441/123, 571/340, 669/849) = 56153853

LCM of 441/123, 571/340, 669/849

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 441/123,571/340,669/849

Given numbers are 441/123,571/340,669/849

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 441,571,669

Least Common Multiple of Numerators i.e. LCM of 441,571,669 is 56153853.

GCF of Denominators means GCF of 123,340,849 as per the given fractions.

GCF of 123,340,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,571,669

LCM of Fractions 441/123,571/340,669/849 is 56153853

3 441, 571, 669
147, 571, 223

∴ So the LCM of the given numbers is 3 x 147 x 571 x 223 = 56153853

Least Common Multiple of 441,571,669 with GCF Formula

Least Common Multiple of 441,571,669 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 441,571,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,571,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(441,571,669) x common factors =1 x 3 = 3

LCM(441,571,669) = ( 441 × 571 × 669 ) / 3

LCM(441,571,669) = 168461559 / 3

LCM(441,571,669) = 56153853


Lets's calculate GCF of 123,340,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56153853/1

Therefore the LCM of Fractions 441/123,571/340,669/849 is 56153853

Greatest Common Factor of 123,340,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,340,849 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 123,340,849 . The biggest common factor number is the GCF number.
So the greatest common factor 123,340,849 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 441/123, 571/340, 669/849

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 441/123, 571/340, 669/849?

Answer: LCM of Numerators as per given numbers 441/123, 571/340, 669/849 is

LCM of Numerators i.e. for 441,571,669 is 56153853

GCF of denominators i.e. for 123,340,849 is 1.

Thus, LCM of Fractions is 56153853.Finally, LCM of Fractions for 441/123, 571/340, 669/849 is 56153853.