Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/78, 865/5406 quickly i.e. 833860/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/78, 865/5406 is 833860/6.
LCM(964/78, 865/5406) = 833860/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/78,865/5406
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 964,865
Least Common Multiple of Numerators i.e. LCM of 964,865 is 833860.
GCF of Denominators means GCF of 78,5406 as per the given fractions.
GCF of 78,5406 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 833860
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 964,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,865) x common factors =1 x 1 = 1
LCM(964,865) = ( 964 × 865 ) / 1
LCM(964,865) = 833860 / 1
LCM(964,865) = 833860
Lets's calculate GCF of 78,5406
2 | 78, 5406 |
3 | 39, 2703 |
13, 901 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833860/6
Therefore the LCM of Fractions 964/78,865/5406 is 833860/6
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 5406
List of positive integer factors of 5406 that divides 5406 without a remainder.
1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406
Greatest Common Factor
We found the factors 78,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 78,5406 is 6.
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 964/78, 865/5406?
Answer: LCM of Numerators as per given numbers 964/78, 865/5406 is
LCM of Numerators i.e. for 964,865 is 833860
GCF of denominators i.e. for 78,5406 is 6.
Thus, LCM of Fractions is 833860/6.Finally, LCM of Fractions for 964/78, 865/5406 is 833860/6.