Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/38, 197/37, 609/929 quickly i.e. 38991225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/38, 197/37, 609/929 is 38991225.
LCM(325/38, 197/37, 609/929) = 38991225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/38,197/37,609/929
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 325,197,609
Least Common Multiple of Numerators i.e. LCM of 325,197,609 is 38991225.
GCF of Denominators means GCF of 38,37,929 as per the given fractions.
GCF of 38,37,929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,197,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 38991225
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 325,197,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,197,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,197,609) x common factors =1 x 1 = 1
LCM(325,197,609) = ( 325 × 197 × 609 ) / 1
LCM(325,197,609) = 38991225 / 1
LCM(325,197,609) = 38991225
Lets's calculate GCF of 38,37,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38991225/1
Therefore the LCM of Fractions 325/38,197/37,609/929 is 38991225
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 38,37,929 . The biggest common factor number is the GCF number.
So the greatest common factor 38,37,929 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 325/38, 197/37, 609/929?
Answer: LCM of Numerators as per given numbers 325/38, 197/37, 609/929 is
LCM of Numerators i.e. for 325,197,609 is 38991225
GCF of denominators i.e. for 38,37,929 is 1.
Thus, LCM of Fractions is 38991225.Finally, LCM of Fractions for 325/38, 197/37, 609/929 is 38991225.