Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/881, 7095/9590 quickly i.e. 163185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/881, 7095/9590 is 163185.
LCM(115/881, 7095/9590) = 163185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/881,7095/9590
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 115,7095
Least Common Multiple of Numerators i.e. LCM of 115,7095 is 163185.
GCF of Denominators means GCF of 881,9590 as per the given fractions.
GCF of 881,9590 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,7095
5 | 115, 7095 |
23, 1419 |
∴ So the LCM of the given numbers is 5 x 23 x 1419 = 163185
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 115,7095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,7095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(115,7095) x common factors =5 x 1 = 5
LCM(115,7095) = ( 115 × 7095 ) / 5
LCM(115,7095) = 815925 / 5
LCM(115,7095) = 163185
Lets's calculate GCF of 881,9590
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163185/1
Therefore the LCM of Fractions 115/881,7095/9590 is 163185
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 9590
List of positive integer factors of 9590 that divides 9590 without a remainder.
1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 881,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 881,9590 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 115/881, 7095/9590?
Answer: LCM of Numerators as per given numbers 115/881, 7095/9590 is
LCM of Numerators i.e. for 115,7095 is 163185
GCF of denominators i.e. for 881,9590 is 1.
Thus, LCM of Fractions is 163185.Finally, LCM of Fractions for 115/881, 7095/9590 is 163185.