Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/875, 5983/8953 quickly i.e. 352997/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/875, 5983/8953 is 352997/7.
LCM(59/875, 5983/8953) = 352997/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/875,5983/8953
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 59,5983
Least Common Multiple of Numerators i.e. LCM of 59,5983 is 352997.
GCF of Denominators means GCF of 875,8953 as per the given fractions.
GCF of 875,8953 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,5983
Given numbers has no common factors except 1. So, there LCM is their product i.e 352997
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 59,5983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,5983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,5983) x common factors =1 x 1 = 1
LCM(59,5983) = ( 59 × 5983 ) / 1
LCM(59,5983) = 352997 / 1
LCM(59,5983) = 352997
Lets's calculate GCF of 875,8953
7 | 875, 8953 |
125, 1279 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352997/7
Therefore the LCM of Fractions 59/875,5983/8953 is 352997/7
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1,7,1279,8953
Greatest Common Factor
We found the factors 875,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 875,8953 is 7.
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 59/875, 5983/8953?
Answer: LCM of Numerators as per given numbers 59/875, 5983/8953 is
LCM of Numerators i.e. for 59,5983 is 352997
GCF of denominators i.e. for 875,8953 is 7.
Thus, LCM of Fractions is 352997/7.Finally, LCM of Fractions for 59/875, 5983/8953 is 352997/7.