Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2453/750, 9312/4030 quickly i.e. 22842336/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2453/750, 9312/4030 is 22842336/10.
LCM(2453/750, 9312/4030) = 22842336/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2453/750,9312/4030
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 2453,9312
Least Common Multiple of Numerators i.e. LCM of 2453,9312 is 22842336.
GCF of Denominators means GCF of 750,4030 as per the given fractions.
GCF of 750,4030 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2453,9312
Given numbers has no common factors except 1. So, there LCM is their product i.e 22842336
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 2453,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2453,9312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2453,9312) x common factors =1 x 1 = 1
LCM(2453,9312) = ( 2453 × 9312 ) / 1
LCM(2453,9312) = 22842336 / 1
LCM(2453,9312) = 22842336
Lets's calculate GCF of 750,4030
2 | 750, 4030 |
5 | 375, 2015 |
75, 403 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22842336/10
Therefore the LCM of Fractions 2453/750,9312/4030 is 22842336/10
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Greatest Common Factor
We found the factors 750,4030 . The biggest common factor number is the GCF number.
So the greatest common factor 750,4030 is 10.
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 2453/750, 9312/4030?
Answer: LCM of Numerators as per given numbers 2453/750, 9312/4030 is
LCM of Numerators i.e. for 2453,9312 is 22842336
GCF of denominators i.e. for 750,4030 is 10.
Thus, LCM of Fractions is 22842336/10.Finally, LCM of Fractions for 2453/750, 9312/4030 is 22842336/10.