Least Common Multiple of 81/440, 669/694, 601/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/440, 669/694, 601/123 quickly i.e. 10855863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/440, 669/694, 601/123 is 10855863.

LCM(81/440, 669/694, 601/123) = 10855863

LCM of 81/440, 669/694, 601/123

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 81/440,669/694,601/123

Given numbers are 81/440,669/694,601/123

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 81,669,601

Least Common Multiple of Numerators i.e. LCM of 81,669,601 is 10855863.

GCF of Denominators means GCF of 440,694,123 as per the given fractions.

GCF of 440,694,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,669,601

LCM of Fractions 81/440,669/694,601/123 is 10855863

3 81, 669, 601
27, 223, 601

∴ So the LCM of the given numbers is 3 x 27 x 223 x 601 = 10855863

Least Common Multiple of 81,669,601 with GCF Formula

Least Common Multiple of 81,669,601 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 81,669,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,669,601) = 1

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

GCF(81,669,601) x common factors =1 x 3 = 3

LCM(81,669,601) = ( 81 × 669 × 601 ) / 3

LCM(81,669,601) = 32567589 / 3

LCM(81,669,601) = 10855863


Lets's calculate GCF of 440,694,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10855863/1

Therefore the LCM of Fractions 81/440,669/694,601/123 is 10855863

Greatest Common Factor of 440,694,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,694,123 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 123

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

1,3,41,123

Greatest Common Factor

We found the factors 440,694,123 . The biggest common factor number is the GCF number.
So the greatest common factor 440,694,123 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 81/440, 669/694, 601/123

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 81/440, 669/694, 601/123?

Answer: LCM of Numerators as per given numbers 81/440, 669/694, 601/123 is

LCM of Numerators i.e. for 81,669,601 is 10855863

GCF of denominators i.e. for 440,694,123 is 1.

Thus, LCM of Fractions is 10855863.Finally, LCM of Fractions for 81/440, 669/694, 601/123 is 10855863.