Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/197, 83/197 quickly i.e. 1577/197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/197, 83/197 is 1577/197.
LCM(19/197, 83/197) = 1577/197
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/197,83/197
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 19,83
Least Common Multiple of Numerators i.e. LCM of 19,83 is 1577.
GCF of Denominators means GCF of 197,197 as per the given fractions.
GCF of 197,197 is 197 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 1577
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 19,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,83) x common factors =1 x 1 = 1
LCM(19,83) = ( 19 × 83 ) / 1
LCM(19,83) = 1577 / 1
LCM(19,83) = 1577
Lets's calculate GCF of 197,197
197 | 197, 197 |
1, 1 |
∴ So the GCF of the given numbers is 197 = 197
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1577/197
Therefore the LCM of Fractions 19/197,83/197 is 1577/197
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 197,197 . The biggest common factor number is the GCF number.
So the greatest common factor 197,197 is 197.
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 19/197, 83/197?
Answer: LCM of Numerators as per given numbers 19/197, 83/197 is
LCM of Numerators i.e. for 19,83 is 1577
GCF of denominators i.e. for 197,197 is 197.
Thus, LCM of Fractions is 1577/197.Finally, LCM of Fractions for 19/197, 83/197 is 1577/197.