Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 959/86, 370/6316 quickly i.e. 177415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 959/86, 370/6316 is 177415.
LCM(959/86, 370/6316) = 177415
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 959/86,370/6316
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 959,370
Least Common Multiple of Numerators i.e. LCM of 959,370 is 354830.
GCF of Denominators means GCF of 86,6316 as per the given fractions.
GCF of 86,6316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 959,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 354830
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 959,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,370) x common factors =1 x 1 = 1
LCM(959,370) = ( 959 × 370 ) / 1
LCM(959,370) = 354830 / 1
LCM(959,370) = 354830
Lets's calculate GCF of 86,6316
2 | 86, 6316 |
43, 3158 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354830/2
Therefore the LCM of Fractions 959/86,370/6316 is 177415
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 6316
List of positive integer factors of 6316 that divides 6316 without a remainder.
1,2,4,1579,3158,6316
Greatest Common Factor
We found the factors 86,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 86,6316 is 2.
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 959/86, 370/6316?
Answer: LCM of Numerators as per given numbers 959/86, 370/6316 is
LCM of Numerators i.e. for 959,370 is 354830
GCF of denominators i.e. for 86,6316 is 2.
Thus, LCM of Fractions is 177415.Finally, LCM of Fractions for 959/86, 370/6316 is 177415.