Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/97, 94/20, 31/225 quickly i.e. 282658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/97, 94/20, 31/225 is 282658.
LCM(97/97, 94/20, 31/225) = 282658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/97,94/20,31/225
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 97,94,31
Least Common Multiple of Numerators i.e. LCM of 97,94,31 is 282658.
GCF of Denominators means GCF of 97,20,225 as per the given fractions.
GCF of 97,20,225 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,94,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 282658
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 97,94,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,94,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,94,31) x common factors =1 x 1 = 1
LCM(97,94,31) = ( 97 × 94 × 31 ) / 1
LCM(97,94,31) = 282658 / 1
LCM(97,94,31) = 282658
Lets's calculate GCF of 97,20,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282658/1
Therefore the LCM of Fractions 97/97,94/20,31/225 is 282658
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 97,20,225 . The biggest common factor number is the GCF number.
So the greatest common factor 97,20,225 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 97/97, 94/20, 31/225?
Answer: LCM of Numerators as per given numbers 97/97, 94/20, 31/225 is
LCM of Numerators i.e. for 97,94,31 is 282658
GCF of denominators i.e. for 97,20,225 is 1.
Thus, LCM of Fractions is 282658.Finally, LCM of Fractions for 97/97, 94/20, 31/225 is 282658.