Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9444/253, 2457/5052 quickly i.e. 7734636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9444/253, 2457/5052 is 7734636.
LCM(9444/253, 2457/5052) = 7734636
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9444/253,2457/5052
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 9444,2457
Least Common Multiple of Numerators i.e. LCM of 9444,2457 is 7734636.
GCF of Denominators means GCF of 253,5052 as per the given fractions.
GCF of 253,5052 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9444,2457
3 | 9444, 2457 |
3148, 819 |
∴ So the LCM of the given numbers is 3 x 3148 x 819 = 7734636
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 9444,2457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9444,2457) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9444,2457) x common factors =3 x 1 = 3
LCM(9444,2457) = ( 9444 × 2457 ) / 3
LCM(9444,2457) = 23203908 / 3
LCM(9444,2457) = 7734636
Lets's calculate GCF of 253,5052
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7734636/1
Therefore the LCM of Fractions 9444/253,2457/5052 is 7734636
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 5052
List of positive integer factors of 5052 that divides 5052 without a remainder.
1,2,3,4,6,12,421,842,1263,1684,2526,5052
Greatest Common Factor
We found the factors 253,5052 . The biggest common factor number is the GCF number.
So the greatest common factor 253,5052 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 9444/253, 2457/5052?
Answer: LCM of Numerators as per given numbers 9444/253, 2457/5052 is
LCM of Numerators i.e. for 9444,2457 is 7734636
GCF of denominators i.e. for 253,5052 is 1.
Thus, LCM of Fractions is 7734636.Finally, LCM of Fractions for 9444/253, 2457/5052 is 7734636.