Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 539/315, 7381/1352 quickly i.e. 361669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 539/315, 7381/1352 is 361669.
LCM(539/315, 7381/1352) = 361669
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 539/315,7381/1352
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 539,7381
Least Common Multiple of Numerators i.e. LCM of 539,7381 is 361669.
GCF of Denominators means GCF of 315,1352 as per the given fractions.
GCF of 315,1352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 539,7381
11 | 539, 7381 |
49, 671 |
∴ So the LCM of the given numbers is 11 x 49 x 671 = 361669
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 539,7381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,7381) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,7381) x common factors =11 x 1 = 11
LCM(539,7381) = ( 539 × 7381 ) / 11
LCM(539,7381) = 3978359 / 11
LCM(539,7381) = 361669
Lets's calculate GCF of 315,1352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361669/1
Therefore the LCM of Fractions 539/315,7381/1352 is 361669
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 1352
List of positive integer factors of 1352 that divides 1352 without a remainder.
1,2,4,8,13,26,52,104,169,338,676,1352
Greatest Common Factor
We found the factors 315,1352 . The biggest common factor number is the GCF number.
So the greatest common factor 315,1352 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 539/315, 7381/1352?
Answer: LCM of Numerators as per given numbers 539/315, 7381/1352 is
LCM of Numerators i.e. for 539,7381 is 361669
GCF of denominators i.e. for 315,1352 is 1.
Thus, LCM of Fractions is 361669.Finally, LCM of Fractions for 539/315, 7381/1352 is 361669.