Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 326/195, 7204/2516 quickly i.e. 1174252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 326/195, 7204/2516 is 1174252.
LCM(326/195, 7204/2516) = 1174252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 326/195,7204/2516
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 326,7204
Least Common Multiple of Numerators i.e. LCM of 326,7204 is 1174252.
GCF of Denominators means GCF of 195,2516 as per the given fractions.
GCF of 195,2516 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 326,7204
2 | 326, 7204 |
163, 3602 |
∴ So the LCM of the given numbers is 2 x 163 x 3602 = 1174252
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 326,7204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,7204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,7204) x common factors =2 x 1 = 2
LCM(326,7204) = ( 326 × 7204 ) / 2
LCM(326,7204) = 2348504 / 2
LCM(326,7204) = 1174252
Lets's calculate GCF of 195,2516
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1174252/1
Therefore the LCM of Fractions 326/195,7204/2516 is 1174252
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 2516
List of positive integer factors of 2516 that divides 2516 without a remainder.
1,2,4,17,34,37,68,74,148,629,1258,2516
Greatest Common Factor
We found the factors 195,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 195,2516 is 1.
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 326/195, 7204/2516?
Answer: LCM of Numerators as per given numbers 326/195, 7204/2516 is
LCM of Numerators i.e. for 326,7204 is 1174252
GCF of denominators i.e. for 195,2516 is 1.
Thus, LCM of Fractions is 1174252.Finally, LCM of Fractions for 326/195, 7204/2516 is 1174252.