Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/989, 637/400, 796/330 quickly i.e. 1521156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/989, 637/400, 796/330 is 1521156.
LCM(39/989, 637/400, 796/330) = 1521156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/989,637/400,796/330
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 39,637,796
Least Common Multiple of Numerators i.e. LCM of 39,637,796 is 1521156.
GCF of Denominators means GCF of 989,400,330 as per the given fractions.
GCF of 989,400,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,637,796
13 | 39, 637, 796 |
3, 49, 796 |
∴ So the LCM of the given numbers is 13 x 3 x 49 x 796 = 1521156
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 39,637,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,637,796) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(39,637,796) x common factors =1 x 13 = 13
LCM(39,637,796) = ( 39 × 637 × 796 ) / 13
LCM(39,637,796) = 19775028 / 13
LCM(39,637,796) = 1521156
Lets's calculate GCF of 989,400,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1521156/1
Therefore the LCM of Fractions 39/989,637/400,796/330 is 1521156
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 989,400,330 . The biggest common factor number is the GCF number.
So the greatest common factor 989,400,330 is 1.
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 39/989, 637/400, 796/330?
Answer: LCM of Numerators as per given numbers 39/989, 637/400, 796/330 is
LCM of Numerators i.e. for 39,637,796 is 1521156
GCF of denominators i.e. for 989,400,330 is 1.
Thus, LCM of Fractions is 1521156.Finally, LCM of Fractions for 39/989, 637/400, 796/330 is 1521156.