Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/888, 50/986, 953/398 quickly i.e. 1358025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/888, 50/986, 953/398 is 1358025.
LCM(57/888, 50/986, 953/398) = 1358025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/888,50/986,953/398
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 57,50,953
Least Common Multiple of Numerators i.e. LCM of 57,50,953 is 2716050.
GCF of Denominators means GCF of 888,986,398 as per the given fractions.
GCF of 888,986,398 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,50,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 2716050
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 57,50,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,50,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,50,953) x common factors =1 x 1 = 1
LCM(57,50,953) = ( 57 × 50 × 953 ) / 1
LCM(57,50,953) = 2716050 / 1
LCM(57,50,953) = 2716050
Lets's calculate GCF of 888,986,398
2 | 888, 986, 398 |
444, 493, 199 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2716050/2
Therefore the LCM of Fractions 57/888,50/986,953/398 is 1358025
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 888,986,398 . The biggest common factor number is the GCF number.
So the greatest common factor 888,986,398 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 57/888, 50/986, 953/398?
Answer: LCM of Numerators as per given numbers 57/888, 50/986, 953/398 is
LCM of Numerators i.e. for 57,50,953 is 2716050
GCF of denominators i.e. for 888,986,398 is 2.
Thus, LCM of Fractions is 1358025.Finally, LCM of Fractions for 57/888, 50/986, 953/398 is 1358025.