Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/950, 2212/8161 quickly i.e. 214564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/950, 2212/8161 is 214564.
LCM(97/950, 2212/8161) = 214564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/950,2212/8161
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 97,2212
Least Common Multiple of Numerators i.e. LCM of 97,2212 is 214564.
GCF of Denominators means GCF of 950,8161 as per the given fractions.
GCF of 950,8161 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,2212
Given numbers has no common factors except 1. So, there LCM is their product i.e 214564
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 97,2212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,2212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,2212) x common factors =1 x 1 = 1
LCM(97,2212) = ( 97 × 2212 ) / 1
LCM(97,2212) = 214564 / 1
LCM(97,2212) = 214564
Lets's calculate GCF of 950,8161
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214564/1
Therefore the LCM of Fractions 97/950,2212/8161 is 214564
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1,8161
Greatest Common Factor
We found the factors 950,8161 . The biggest common factor number is the GCF number.
So the greatest common factor 950,8161 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 97/950, 2212/8161?
Answer: LCM of Numerators as per given numbers 97/950, 2212/8161 is
LCM of Numerators i.e. for 97,2212 is 214564
GCF of denominators i.e. for 950,8161 is 1.
Thus, LCM of Fractions is 214564.Finally, LCM of Fractions for 97/950, 2212/8161 is 214564.