Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/335, 13/183, 591/951 quickly i.e. 745251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/335, 13/183, 591/951 is 745251.
LCM(97/335, 13/183, 591/951) = 745251
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/335,13/183,591/951
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 97,13,591
Least Common Multiple of Numerators i.e. LCM of 97,13,591 is 745251.
GCF of Denominators means GCF of 335,183,951 as per the given fractions.
GCF of 335,183,951 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,13,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 745251
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 97,13,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,13,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,13,591) x common factors =1 x 1 = 1
LCM(97,13,591) = ( 97 × 13 × 591 ) / 1
LCM(97,13,591) = 745251 / 1
LCM(97,13,591) = 745251
Lets's calculate GCF of 335,183,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745251/1
Therefore the LCM of Fractions 97/335,13/183,591/951 is 745251
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
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 335,183,951 . The biggest common factor number is the GCF number.
So the greatest common factor 335,183,951 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 97/335, 13/183, 591/951?
Answer: LCM of Numerators as per given numbers 97/335, 13/183, 591/951 is
LCM of Numerators i.e. for 97,13,591 is 745251
GCF of denominators i.e. for 335,183,951 is 1.
Thus, LCM of Fractions is 745251.Finally, LCM of Fractions for 97/335, 13/183, 591/951 is 745251.