Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/45, 775/52, 839/896 quickly i.e. 128094325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/45, 775/52, 839/896 is 128094325.
LCM(197/45, 775/52, 839/896) = 128094325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/45,775/52,839/896
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 197,775,839
Least Common Multiple of Numerators i.e. LCM of 197,775,839 is 128094325.
GCF of Denominators means GCF of 45,52,896 as per the given fractions.
GCF of 45,52,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,775,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 128094325
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 197,775,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,775,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,775,839) x common factors =1 x 1 = 1
LCM(197,775,839) = ( 197 × 775 × 839 ) / 1
LCM(197,775,839) = 128094325 / 1
LCM(197,775,839) = 128094325
Lets's calculate GCF of 45,52,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128094325/1
Therefore the LCM of Fractions 197/45,775/52,839/896 is 128094325
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 45,52,896 . The biggest common factor number is the GCF number.
So the greatest common factor 45,52,896 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 197/45, 775/52, 839/896?
Answer: LCM of Numerators as per given numbers 197/45, 775/52, 839/896 is
LCM of Numerators i.e. for 197,775,839 is 128094325
GCF of denominators i.e. for 45,52,896 is 1.
Thus, LCM of Fractions is 128094325.Finally, LCM of Fractions for 197/45, 775/52, 839/896 is 128094325.