Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/323, 326/903, 643/858 quickly i.e. 2305798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/323, 326/903, 643/858 is 2305798.
LCM(22/323, 326/903, 643/858) = 2305798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/323,326/903,643/858
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 22,326,643
Least Common Multiple of Numerators i.e. LCM of 22,326,643 is 2305798.
GCF of Denominators means GCF of 323,903,858 as per the given fractions.
GCF of 323,903,858 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,326,643
2 | 22, 326, 643 |
11, 163, 643 |
∴ So the LCM of the given numbers is 2 x 11 x 163 x 643 = 2305798
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 22,326,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,326,643) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,326,643) x common factors =1 x 2 = 2
LCM(22,326,643) = ( 22 × 326 × 643 ) / 2
LCM(22,326,643) = 4611596 / 2
LCM(22,326,643) = 2305798
Lets's calculate GCF of 323,903,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2305798/1
Therefore the LCM of Fractions 22/323,326/903,643/858 is 2305798
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 323,903,858 . The biggest common factor number is the GCF number.
So the greatest common factor 323,903,858 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 22/323, 326/903, 643/858?
Answer: LCM of Numerators as per given numbers 22/323, 326/903, 643/858 is
LCM of Numerators i.e. for 22,326,643 is 2305798
GCF of denominators i.e. for 323,903,858 is 1.
Thus, LCM of Fractions is 2305798.Finally, LCM of Fractions for 22/323, 326/903, 643/858 is 2305798.