Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9969/143, 2395/1835 quickly i.e. 23875755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9969/143, 2395/1835 is 23875755.
LCM(9969/143, 2395/1835) = 23875755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9969/143,2395/1835
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 9969,2395
Least Common Multiple of Numerators i.e. LCM of 9969,2395 is 23875755.
GCF of Denominators means GCF of 143,1835 as per the given fractions.
GCF of 143,1835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9969,2395
Given numbers has no common factors except 1. So, there LCM is their product i.e 23875755
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 9969,2395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9969,2395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9969,2395) x common factors =1 x 1 = 1
LCM(9969,2395) = ( 9969 × 2395 ) / 1
LCM(9969,2395) = 23875755 / 1
LCM(9969,2395) = 23875755
Lets's calculate GCF of 143,1835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23875755/1
Therefore the LCM of Fractions 9969/143,2395/1835 is 23875755
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 1835
List of positive integer factors of 1835 that divides 1835 without a remainder.
1,5,367,1835
Greatest Common Factor
We found the factors 143,1835 . The biggest common factor number is the GCF number.
So the greatest common factor 143,1835 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 9969/143, 2395/1835?
Answer: LCM of Numerators as per given numbers 9969/143, 2395/1835 is
LCM of Numerators i.e. for 9969,2395 is 23875755
GCF of denominators i.e. for 143,1835 is 1.
Thus, LCM of Fractions is 23875755.Finally, LCM of Fractions for 9969/143, 2395/1835 is 23875755.