Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/84, 231/33, 908/337 quickly i.e. 20345556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/84, 231/33, 908/337 is 20345556.
LCM(97/84, 231/33, 908/337) = 20345556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/84,231/33,908/337
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 97,231,908
Least Common Multiple of Numerators i.e. LCM of 97,231,908 is 20345556.
GCF of Denominators means GCF of 84,33,337 as per the given fractions.
GCF of 84,33,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,231,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 20345556
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 97,231,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,231,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,231,908) x common factors =1 x 1 = 1
LCM(97,231,908) = ( 97 × 231 × 908 ) / 1
LCM(97,231,908) = 20345556 / 1
LCM(97,231,908) = 20345556
Lets's calculate GCF of 84,33,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20345556/1
Therefore the LCM of Fractions 97/84,231/33,908/337 is 20345556
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 84,33,337 . The biggest common factor number is the GCF number.
So the greatest common factor 84,33,337 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 97/84, 231/33, 908/337?
Answer: LCM of Numerators as per given numbers 97/84, 231/33, 908/337 is
LCM of Numerators i.e. for 97,231,908 is 20345556
GCF of denominators i.e. for 84,33,337 is 1.
Thus, LCM of Fractions is 20345556.Finally, LCM of Fractions for 97/84, 231/33, 908/337 is 20345556.