Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/97, 513/93, 168/837 quickly i.e. 9508968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/97, 513/93, 168/837 is 9508968.
LCM(331/97, 513/93, 168/837) = 9508968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/97,513/93,168/837
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 331,513,168
Least Common Multiple of Numerators i.e. LCM of 331,513,168 is 9508968.
GCF of Denominators means GCF of 97,93,837 as per the given fractions.
GCF of 97,93,837 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,513,168
3 | 331, 513, 168 |
331, 171, 56 |
∴ So the LCM of the given numbers is 3 x 331 x 171 x 56 = 9508968
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 331,513,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,513,168) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(331,513,168) x common factors =1 x 3 = 3
LCM(331,513,168) = ( 331 × 513 × 168 ) / 3
LCM(331,513,168) = 28526904 / 3
LCM(331,513,168) = 9508968
Lets's calculate GCF of 97,93,837
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9508968/1
Therefore the LCM of Fractions 331/97,513/93,168/837 is 9508968
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 97,93,837 . The biggest common factor number is the GCF number.
So the greatest common factor 97,93,837 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 331/97, 513/93, 168/837?
Answer: LCM of Numerators as per given numbers 331/97, 513/93, 168/837 is
LCM of Numerators i.e. for 331,513,168 is 9508968
GCF of denominators i.e. for 97,93,837 is 1.
Thus, LCM of Fractions is 9508968.Finally, LCM of Fractions for 331/97, 513/93, 168/837 is 9508968.