Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 888/440, 2415/957 quickly i.e. 714840/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 888/440, 2415/957 is 714840/11.
LCM(888/440, 2415/957) = 714840/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 888/440,2415/957
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 888,2415
Least Common Multiple of Numerators i.e. LCM of 888,2415 is 714840.
GCF of Denominators means GCF of 440,957 as per the given fractions.
GCF of 440,957 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 888,2415
3 | 888, 2415 |
296, 805 |
∴ So the LCM of the given numbers is 3 x 296 x 805 = 714840
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 888,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,2415) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(888,2415) x common factors =3 x 1 = 3
LCM(888,2415) = ( 888 × 2415 ) / 3
LCM(888,2415) = 2144520 / 3
LCM(888,2415) = 714840
Lets's calculate GCF of 440,957
11 | 440, 957 |
40, 87 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714840/11
Therefore the LCM of Fractions 888/440,2415/957 is 714840/11
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 440,957 . The biggest common factor number is the GCF number.
So the greatest common factor 440,957 is 11.
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 888/440, 2415/957?
Answer: LCM of Numerators as per given numbers 888/440, 2415/957 is
LCM of Numerators i.e. for 888,2415 is 714840
GCF of denominators i.e. for 440,957 is 11.
Thus, LCM of Fractions is 714840/11.Finally, LCM of Fractions for 888/440, 2415/957 is 714840/11.