Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/783, 6854/9636 quickly i.e. 89102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/783, 6854/9636 is 89102.
LCM(39/783, 6854/9636) = 89102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/783,6854/9636
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 39,6854
Least Common Multiple of Numerators i.e. LCM of 39,6854 is 267306.
GCF of Denominators means GCF of 783,9636 as per the given fractions.
GCF of 783,9636 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,6854
Given numbers has no common factors except 1. So, there LCM is their product i.e 267306
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 39,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,6854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,6854) x common factors =1 x 1 = 1
LCM(39,6854) = ( 39 × 6854 ) / 1
LCM(39,6854) = 267306 / 1
LCM(39,6854) = 267306
Lets's calculate GCF of 783,9636
3 | 783, 9636 |
261, 3212 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267306/3
Therefore the LCM of Fractions 39/783,6854/9636 is 89102
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 9636
List of positive integer factors of 9636 that divides 9636 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Greatest Common Factor
We found the factors 783,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 783,9636 is 3.
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 39/783, 6854/9636?
Answer: LCM of Numerators as per given numbers 39/783, 6854/9636 is
LCM of Numerators i.e. for 39,6854 is 267306
GCF of denominators i.e. for 783,9636 is 3.
Thus, LCM of Fractions is 89102.Finally, LCM of Fractions for 39/783, 6854/9636 is 89102.