Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/917, 86/225, 857/643 quickly i.e. 7296498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/917, 86/225, 857/643 is 7296498.
LCM(99/917, 86/225, 857/643) = 7296498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/917,86/225,857/643
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 99,86,857
Least Common Multiple of Numerators i.e. LCM of 99,86,857 is 7296498.
GCF of Denominators means GCF of 917,225,643 as per the given fractions.
GCF of 917,225,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,86,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 7296498
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 99,86,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,86,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,86,857) x common factors =1 x 1 = 1
LCM(99,86,857) = ( 99 × 86 × 857 ) / 1
LCM(99,86,857) = 7296498 / 1
LCM(99,86,857) = 7296498
Lets's calculate GCF of 917,225,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7296498/1
Therefore the LCM of Fractions 99/917,86/225,857/643 is 7296498
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 917,225,643 . The biggest common factor number is the GCF number.
So the greatest common factor 917,225,643 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 99/917, 86/225, 857/643?
Answer: LCM of Numerators as per given numbers 99/917, 86/225, 857/643 is
LCM of Numerators i.e. for 99,86,857 is 7296498
GCF of denominators i.e. for 917,225,643 is 1.
Thus, LCM of Fractions is 7296498.Finally, LCM of Fractions for 99/917, 86/225, 857/643 is 7296498.