Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/142, 3803/2502 quickly i.e. 87469/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/142, 3803/2502 is 87469/2.
LCM(23/142, 3803/2502) = 87469/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/142,3803/2502
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 23,3803
Least Common Multiple of Numerators i.e. LCM of 23,3803 is 87469.
GCF of Denominators means GCF of 142,2502 as per the given fractions.
GCF of 142,2502 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,3803
Given numbers has no common factors except 1. So, there LCM is their product i.e 87469
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 23,3803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,3803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,3803) x common factors =1 x 1 = 1
LCM(23,3803) = ( 23 × 3803 ) / 1
LCM(23,3803) = 87469 / 1
LCM(23,3803) = 87469
Lets's calculate GCF of 142,2502
2 | 142, 2502 |
71, 1251 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87469/2
Therefore the LCM of Fractions 23/142,3803/2502 is 87469/2
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 2502
List of positive integer factors of 2502 that divides 2502 without a remainder.
1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors 142,2502 . The biggest common factor number is the GCF number.
So the greatest common factor 142,2502 is 2.
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 23/142, 3803/2502?
Answer: LCM of Numerators as per given numbers 23/142, 3803/2502 is
LCM of Numerators i.e. for 23,3803 is 87469
GCF of denominators i.e. for 142,2502 is 2.
Thus, LCM of Fractions is 87469/2.Finally, LCM of Fractions for 23/142, 3803/2502 is 87469/2.