Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 418/36, 504/9160 quickly i.e. 26334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 418/36, 504/9160 is 26334.
LCM(418/36, 504/9160) = 26334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 418/36,504/9160
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 418,504
Least Common Multiple of Numerators i.e. LCM of 418,504 is 105336.
GCF of Denominators means GCF of 36,9160 as per the given fractions.
GCF of 36,9160 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 418,504
2 | 418, 504 |
209, 252 |
∴ So the LCM of the given numbers is 2 x 209 x 252 = 105336
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 418,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,504) x common factors =2 x 1 = 2
LCM(418,504) = ( 418 × 504 ) / 2
LCM(418,504) = 210672 / 2
LCM(418,504) = 105336
Lets's calculate GCF of 36,9160
2 | 36, 9160 |
2 | 18, 4580 |
9, 2290 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105336/4
Therefore the LCM of Fractions 418/36,504/9160 is 26334
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 9160
List of positive integer factors of 9160 that divides 9160 without a remainder.
1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 36,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 36,9160 is 4.
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 418/36, 504/9160?
Answer: LCM of Numerators as per given numbers 418/36, 504/9160 is
LCM of Numerators i.e. for 418,504 is 105336
GCF of denominators i.e. for 36,9160 is 4.
Thus, LCM of Fractions is 26334.Finally, LCM of Fractions for 418/36, 504/9160 is 26334.