Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/88, 27/30, 57/90, 32/993 quickly i.e. 410400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/88, 27/30, 57/90, 32/993 is 410400.
LCM(50/88, 27/30, 57/90, 32/993) = 410400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/88,27/30,57/90,32/993
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 50,27,57,32
Least Common Multiple of Numerators i.e. LCM of 50,27,57,32 is 410400.
GCF of Denominators means GCF of 88,30,90,993 as per the given fractions.
GCF of 88,30,90,993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,27,57,32
2 | 50, 27, 57, 32 |
3 | 25, 27, 57, 16 |
25, 9, 19, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 9 x 19 x 16 = 410400
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 50,27,57,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,27,57,32) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(50,27,57,32) x common factors =1 x 6 = 6
LCM(50,27,57,32) = ( 50 × 27 × 57 × 32 ) / 6
LCM(50,27,57,32) = 2462400 / 6
LCM(50,27,57,32) = 410400
Lets's calculate GCF of 88,30,90,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410400/1
Therefore the LCM of Fractions 50/88,27/30,57/90,32/993 is 410400
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 88,30,90,993 . The biggest common factor number is the GCF number.
So the greatest common factor 88,30,90,993 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 50/88, 27/30, 57/90, 32/993?
Answer: LCM of Numerators as per given numbers 50/88, 27/30, 57/90, 32/993 is
LCM of Numerators i.e. for 50,27,57,32 is 410400
GCF of denominators i.e. for 88,30,90,993 is 1.
Thus, LCM of Fractions is 410400.Finally, LCM of Fractions for 50/88, 27/30, 57/90, 32/993 is 410400.