Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/486, 90/450, 104/422 quickly i.e. 53820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/486, 90/450, 104/422 is 53820.
LCM(23/486, 90/450, 104/422) = 53820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/486,90/450,104/422
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 23,90,104
Least Common Multiple of Numerators i.e. LCM of 23,90,104 is 107640.
GCF of Denominators means GCF of 486,450,422 as per the given fractions.
GCF of 486,450,422 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,90,104
2 | 23, 90, 104 |
23, 45, 52 |
∴ So the LCM of the given numbers is 2 x 23 x 45 x 52 = 107640
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 23,90,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,90,104) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,90,104) x common factors =1 x 2 = 2
LCM(23,90,104) = ( 23 × 90 × 104 ) / 2
LCM(23,90,104) = 215280 / 2
LCM(23,90,104) = 107640
Lets's calculate GCF of 486,450,422
2 | 486, 450, 422 |
243, 225, 211 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107640/2
Therefore the LCM of Fractions 23/486,90/450,104/422 is 53820
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 486,450,422 . The biggest common factor number is the GCF number.
So the greatest common factor 486,450,422 is 2.
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 23/486, 90/450, 104/422?
Answer: LCM of Numerators as per given numbers 23/486, 90/450, 104/422 is
LCM of Numerators i.e. for 23,90,104 is 107640
GCF of denominators i.e. for 486,450,422 is 2.
Thus, LCM of Fractions is 53820.Finally, LCM of Fractions for 23/486, 90/450, 104/422 is 53820.