Least Common Multiple of 23/869, 10/894, 606/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/869, 10/894, 606/819 quickly i.e. 69690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/869, 10/894, 606/819 is 69690.

LCM(23/869, 10/894, 606/819) = 69690

LCM of 23/869, 10/894, 606/819

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 23/869,10/894,606/819

Given numbers are 23/869,10/894,606/819

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 23,10,606

Least Common Multiple of Numerators i.e. LCM of 23,10,606 is 69690.

GCF of Denominators means GCF of 869,894,819 as per the given fractions.

GCF of 869,894,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,10,606

LCM of Fractions 23/869,10/894,606/819 is 69690

2 23, 10, 606
23, 5, 303

∴ So the LCM of the given numbers is 2 x 23 x 5 x 303 = 69690

Least Common Multiple of 23,10,606 with GCF Formula

Least Common Multiple of 23,10,606 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 23,10,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,10,606) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,10,606) x common factors =1 x 2 = 2

LCM(23,10,606) = ( 23 × 10 × 606 ) / 2

LCM(23,10,606) = 139380 / 2

LCM(23,10,606) = 69690


Lets's calculate GCF of 869,894,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69690/1

Therefore the LCM of Fractions 23/869,10/894,606/819 is 69690

Greatest Common Factor of 869,894,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,894,819 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 869,894,819 . The biggest common factor number is the GCF number.
So the greatest common factor 869,894,819 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 23/869, 10/894, 606/819

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 23/869, 10/894, 606/819?

Answer: LCM of Numerators as per given numbers 23/869, 10/894, 606/819 is

LCM of Numerators i.e. for 23,10,606 is 69690

GCF of denominators i.e. for 869,894,819 is 1.

Thus, LCM of Fractions is 69690.Finally, LCM of Fractions for 23/869, 10/894, 606/819 is 69690.