Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/197, 11/897, 107/718 quickly i.e. 32956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/197, 11/897, 107/718 is 32956.
LCM(28/197, 11/897, 107/718) = 32956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/197,11/897,107/718
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 28,11,107
Least Common Multiple of Numerators i.e. LCM of 28,11,107 is 32956.
GCF of Denominators means GCF of 197,897,718 as per the given fractions.
GCF of 197,897,718 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,11,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 32956
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 28,11,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,11,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,11,107) x common factors =1 x 1 = 1
LCM(28,11,107) = ( 28 × 11 × 107 ) / 1
LCM(28,11,107) = 32956 / 1
LCM(28,11,107) = 32956
Lets's calculate GCF of 197,897,718
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32956/1
Therefore the LCM of Fractions 28/197,11/897,107/718 is 32956
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 197,897,718 . The biggest common factor number is the GCF number.
So the greatest common factor 197,897,718 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 28/197, 11/897, 107/718?
Answer: LCM of Numerators as per given numbers 28/197, 11/897, 107/718 is
LCM of Numerators i.e. for 28,11,107 is 32956
GCF of denominators i.e. for 197,897,718 is 1.
Thus, LCM of Fractions is 32956.Finally, LCM of Fractions for 28/197, 11/897, 107/718 is 32956.