Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/60, 90/30, 30/904 quickly i.e. 1035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/60, 90/30, 30/904 is 1035.
LCM(23/60, 90/30, 30/904) = 1035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/60,90/30,30/904
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 23,90,30
Least Common Multiple of Numerators i.e. LCM of 23,90,30 is 2070.
GCF of Denominators means GCF of 60,30,904 as per the given fractions.
GCF of 60,30,904 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,90,30
2 | 23, 90, 30 |
3 | 23, 45, 15 |
5 | 23, 5, 15 |
23, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 3 = 2070
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 23,90,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,90,30) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(23,90,30) x common factors =1 x 30 = 30
LCM(23,90,30) = ( 23 × 90 × 30 ) / 30
LCM(23,90,30) = 62100 / 30
LCM(23,90,30) = 2070
Lets's calculate GCF of 60,30,904
2 | 60, 30, 904 |
30, 15, 452 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2070/2
Therefore the LCM of Fractions 23/60,90/30,30/904 is 1035
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 60,30,904 . The biggest common factor number is the GCF number.
So the greatest common factor 60,30,904 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 23/60, 90/30, 30/904?
Answer: LCM of Numerators as per given numbers 23/60, 90/30, 30/904 is
LCM of Numerators i.e. for 23,90,30 is 2070
GCF of denominators i.e. for 60,30,904 is 2.
Thus, LCM of Fractions is 1035.Finally, LCM of Fractions for 23/60, 90/30, 30/904 is 1035.