Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 965/696, 3981/936 quickly i.e. 3841665/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 965/696, 3981/936 is 3841665/24.
LCM(965/696, 3981/936) = 3841665/24
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 965/696,3981/936
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 965,3981
Least Common Multiple of Numerators i.e. LCM of 965,3981 is 3841665.
GCF of Denominators means GCF of 696,936 as per the given fractions.
GCF of 696,936 is 24 as it is the largest common factor for these numbers.
Lets's calculate LCM of 965,3981
Given numbers has no common factors except 1. So, there LCM is their product i.e 3841665
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 965,3981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,3981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,3981) x common factors =1 x 1 = 1
LCM(965,3981) = ( 965 × 3981 ) / 1
LCM(965,3981) = 3841665 / 1
LCM(965,3981) = 3841665
Lets's calculate GCF of 696,936
2 | 696, 936 |
2 | 348, 468 |
2 | 174, 234 |
3 | 87, 117 |
29, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3841665/24
Therefore the LCM of Fractions 965/696,3981/936 is 3841665/24
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 696,936 . The biggest common factor number is the GCF number.
So the greatest common factor 696,936 is 24.
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 965/696, 3981/936?
Answer: LCM of Numerators as per given numbers 965/696, 3981/936 is
LCM of Numerators i.e. for 965,3981 is 3841665
GCF of denominators i.e. for 696,936 is 24.
Thus, LCM of Fractions is 3841665/24.Finally, LCM of Fractions for 965/696, 3981/936 is 3841665/24.