Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/97, 847/45, 665/951 quickly i.e. 5230225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/97, 847/45, 665/951 is 5230225.
LCM(325/97, 847/45, 665/951) = 5230225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/97,847/45,665/951
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 325,847,665
Least Common Multiple of Numerators i.e. LCM of 325,847,665 is 5230225.
GCF of Denominators means GCF of 97,45,951 as per the given fractions.
GCF of 97,45,951 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,847,665
5 | 325, 847, 665 |
7 | 65, 847, 133 |
65, 121, 19 |
∴ So the LCM of the given numbers is 5 x 7 x 65 x 121 x 19 = 5230225
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 325,847,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,847,665) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(325,847,665) x common factors =1 x 35 = 35
LCM(325,847,665) = ( 325 × 847 × 665 ) / 35
LCM(325,847,665) = 183057875 / 35
LCM(325,847,665) = 5230225
Lets's calculate GCF of 97,45,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5230225/1
Therefore the LCM of Fractions 325/97,847/45,665/951 is 5230225
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 97,45,951 . The biggest common factor number is the GCF number.
So the greatest common factor 97,45,951 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 325/97, 847/45, 665/951?
Answer: LCM of Numerators as per given numbers 325/97, 847/45, 665/951 is
LCM of Numerators i.e. for 325,847,665 is 5230225
GCF of denominators i.e. for 97,45,951 is 1.
Thus, LCM of Fractions is 5230225.Finally, LCM of Fractions for 325/97, 847/45, 665/951 is 5230225.