Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/686, 85/397, 236/146 quickly i.e. 1985940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/686, 85/397, 236/146 is 1985940.
LCM(99/686, 85/397, 236/146) = 1985940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/686,85/397,236/146
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 99,85,236
Least Common Multiple of Numerators i.e. LCM of 99,85,236 is 1985940.
GCF of Denominators means GCF of 686,397,146 as per the given fractions.
GCF of 686,397,146 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,85,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985940
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 99,85,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,85,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,85,236) x common factors =1 x 1 = 1
LCM(99,85,236) = ( 99 × 85 × 236 ) / 1
LCM(99,85,236) = 1985940 / 1
LCM(99,85,236) = 1985940
Lets's calculate GCF of 686,397,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1985940/1
Therefore the LCM of Fractions 99/686,85/397,236/146 is 1985940
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 686,397,146 . The biggest common factor number is the GCF number.
So the greatest common factor 686,397,146 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 99/686, 85/397, 236/146?
Answer: LCM of Numerators as per given numbers 99/686, 85/397, 236/146 is
LCM of Numerators i.e. for 99,85,236 is 1985940
GCF of denominators i.e. for 686,397,146 is 1.
Thus, LCM of Fractions is 1985940.Finally, LCM of Fractions for 99/686, 85/397, 236/146 is 1985940.