Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 226/525, 4326/2338 quickly i.e. 69834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 226/525, 4326/2338 is 69834.
LCM(226/525, 4326/2338) = 69834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 226/525,4326/2338
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 226,4326
Least Common Multiple of Numerators i.e. LCM of 226,4326 is 488838.
GCF of Denominators means GCF of 525,2338 as per the given fractions.
GCF of 525,2338 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 226,4326
2 | 226, 4326 |
113, 2163 |
∴ So the LCM of the given numbers is 2 x 113 x 2163 = 488838
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 226,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,4326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,4326) x common factors =2 x 1 = 2
LCM(226,4326) = ( 226 × 4326 ) / 2
LCM(226,4326) = 977676 / 2
LCM(226,4326) = 488838
Lets's calculate GCF of 525,2338
7 | 525, 2338 |
75, 334 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488838/7
Therefore the LCM of Fractions 226/525,4326/2338 is 69834
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 2338
List of positive integer factors of 2338 that divides 2338 without a remainder.
1,2,7,14,167,334,1169,2338
Greatest Common Factor
We found the factors 525,2338 . The biggest common factor number is the GCF number.
So the greatest common factor 525,2338 is 7.
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 226/525, 4326/2338?
Answer: LCM of Numerators as per given numbers 226/525, 4326/2338 is
LCM of Numerators i.e. for 226,4326 is 488838
GCF of denominators i.e. for 525,2338 is 7.
Thus, LCM of Fractions is 69834.Finally, LCM of Fractions for 226/525, 4326/2338 is 69834.