Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/975, 573/784, 204/171 quickly i.e. 3467796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/975, 573/784, 204/171 is 3467796.
LCM(89/975, 573/784, 204/171) = 3467796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/975,573/784,204/171
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 89,573,204
Least Common Multiple of Numerators i.e. LCM of 89,573,204 is 3467796.
GCF of Denominators means GCF of 975,784,171 as per the given fractions.
GCF of 975,784,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,573,204
3 | 89, 573, 204 |
89, 191, 68 |
∴ So the LCM of the given numbers is 3 x 89 x 191 x 68 = 3467796
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 89,573,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,573,204) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(89,573,204) x common factors =1 x 3 = 3
LCM(89,573,204) = ( 89 × 573 × 204 ) / 3
LCM(89,573,204) = 10403388 / 3
LCM(89,573,204) = 3467796
Lets's calculate GCF of 975,784,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3467796/1
Therefore the LCM of Fractions 89/975,573/784,204/171 is 3467796
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 975,784,171 . The biggest common factor number is the GCF number.
So the greatest common factor 975,784,171 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 89/975, 573/784, 204/171?
Answer: LCM of Numerators as per given numbers 89/975, 573/784, 204/171 is
LCM of Numerators i.e. for 89,573,204 is 3467796
GCF of denominators i.e. for 975,784,171 is 1.
Thus, LCM of Fractions is 3467796.Finally, LCM of Fractions for 89/975, 573/784, 204/171 is 3467796.