Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 904/339, 616/139 quickly i.e. 69608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 904/339, 616/139 is 69608.
LCM(904/339, 616/139) = 69608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 904/339,616/139
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 904,616
Least Common Multiple of Numerators i.e. LCM of 904,616 is 69608.
GCF of Denominators means GCF of 339,139 as per the given fractions.
GCF of 339,139 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 904,616
2 | 904, 616 |
2 | 452, 308 |
2 | 226, 154 |
113, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 77 = 69608
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 904,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,616) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(904,616) x common factors =8 x 1 = 8
LCM(904,616) = ( 904 × 616 ) / 8
LCM(904,616) = 556864 / 8
LCM(904,616) = 69608
Lets's calculate GCF of 339,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69608/1
Therefore the LCM of Fractions 904/339,616/139 is 69608
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 339,139 . The biggest common factor number is the GCF number.
So the greatest common factor 339,139 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 904/339, 616/139?
Answer: LCM of Numerators as per given numbers 904/339, 616/139 is
LCM of Numerators i.e. for 904,616 is 69608
GCF of denominators i.e. for 339,139 is 1.
Thus, LCM of Fractions is 69608.Finally, LCM of Fractions for 904/339, 616/139 is 69608.