Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/867, 995/358, 289/729 quickly i.e. 287555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/867, 995/358, 289/729 is 287555.
LCM(85/867, 995/358, 289/729) = 287555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/867,995/358,289/729
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 85,995,289
Least Common Multiple of Numerators i.e. LCM of 85,995,289 is 287555.
GCF of Denominators means GCF of 867,358,729 as per the given fractions.
GCF of 867,358,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,995,289
5 | 85, 995, 289 |
17 | 17, 199, 289 |
1, 199, 17 |
∴ So the LCM of the given numbers is 5 x 17 x 1 x 199 x 17 = 287555
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 85,995,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,995,289) = 1
common factors(in case of two or more numbers have common factors) = 85
GCF(85,995,289) x common factors =1 x 85 = 85
LCM(85,995,289) = ( 85 × 995 × 289 ) / 85
LCM(85,995,289) = 24442175 / 85
LCM(85,995,289) = 287555
Lets's calculate GCF of 867,358,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287555/1
Therefore the LCM of Fractions 85/867,995/358,289/729 is 287555
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 867,358,729 . The biggest common factor number is the GCF number.
So the greatest common factor 867,358,729 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 85/867, 995/358, 289/729?
Answer: LCM of Numerators as per given numbers 85/867, 995/358, 289/729 is
LCM of Numerators i.e. for 85,995,289 is 287555
GCF of denominators i.e. for 867,358,729 is 1.
Thus, LCM of Fractions is 287555.Finally, LCM of Fractions for 85/867, 995/358, 289/729 is 287555.