Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 851/94, 965/6936 quickly i.e. 821215/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 851/94, 965/6936 is 821215/2.
LCM(851/94, 965/6936) = 821215/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 851/94,965/6936
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 851,965
Least Common Multiple of Numerators i.e. LCM of 851,965 is 821215.
GCF of Denominators means GCF of 94,6936 as per the given fractions.
GCF of 94,6936 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 851,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 821215
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 851,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,965) x common factors =1 x 1 = 1
LCM(851,965) = ( 851 × 965 ) / 1
LCM(851,965) = 821215 / 1
LCM(851,965) = 821215
Lets's calculate GCF of 94,6936
2 | 94, 6936 |
47, 3468 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 821215/2
Therefore the LCM of Fractions 851/94,965/6936 is 821215/2
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 6936
List of positive integer factors of 6936 that divides 6936 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Greatest Common Factor
We found the factors 94,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 94,6936 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 851/94, 965/6936?
Answer: LCM of Numerators as per given numbers 851/94, 965/6936 is
LCM of Numerators i.e. for 851,965 is 821215
GCF of denominators i.e. for 94,6936 is 2.
Thus, LCM of Fractions is 821215/2.Finally, LCM of Fractions for 851/94, 965/6936 is 821215/2.