Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/283, 999/775, 964/675 quickly i.e. 189718092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/283, 999/775, 964/675 is 189718092.
LCM(197/283, 999/775, 964/675) = 189718092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/283,999/775,964/675
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 197,999,964
Least Common Multiple of Numerators i.e. LCM of 197,999,964 is 189718092.
GCF of Denominators means GCF of 283,775,675 as per the given fractions.
GCF of 283,775,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,999,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 189718092
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 197,999,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,999,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,999,964) x common factors =1 x 1 = 1
LCM(197,999,964) = ( 197 × 999 × 964 ) / 1
LCM(197,999,964) = 189718092 / 1
LCM(197,999,964) = 189718092
Lets's calculate GCF of 283,775,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189718092/1
Therefore the LCM of Fractions 197/283,999/775,964/675 is 189718092
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 283,775,675 . The biggest common factor number is the GCF number.
So the greatest common factor 283,775,675 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 197/283, 999/775, 964/675?
Answer: LCM of Numerators as per given numbers 197/283, 999/775, 964/675 is
LCM of Numerators i.e. for 197,999,964 is 189718092
GCF of denominators i.e. for 283,775,675 is 1.
Thus, LCM of Fractions is 189718092.Finally, LCM of Fractions for 197/283, 999/775, 964/675 is 189718092.