Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9188/146, 2190/626 quickly i.e. 5030430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9188/146, 2190/626 is 5030430.
LCM(9188/146, 2190/626) = 5030430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9188/146,2190/626
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 9188,2190
Least Common Multiple of Numerators i.e. LCM of 9188,2190 is 10060860.
GCF of Denominators means GCF of 146,626 as per the given fractions.
GCF of 146,626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9188,2190
2 | 9188, 2190 |
4594, 1095 |
∴ So the LCM of the given numbers is 2 x 4594 x 1095 = 10060860
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 9188,2190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9188,2190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9188,2190) x common factors =2 x 1 = 2
LCM(9188,2190) = ( 9188 × 2190 ) / 2
LCM(9188,2190) = 20121720 / 2
LCM(9188,2190) = 10060860
Lets's calculate GCF of 146,626
2 | 146, 626 |
73, 313 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10060860/2
Therefore the LCM of Fractions 9188/146,2190/626 is 5030430
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 146,626 . The biggest common factor number is the GCF number.
So the greatest common factor 146,626 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 9188/146, 2190/626?
Answer: LCM of Numerators as per given numbers 9188/146, 2190/626 is
LCM of Numerators i.e. for 9188,2190 is 10060860
GCF of denominators i.e. for 146,626 is 2.
Thus, LCM of Fractions is 5030430.Finally, LCM of Fractions for 9188/146, 2190/626 is 5030430.