Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/89, 50/68, 36/31, 24/603 quickly i.e. 23400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/89, 50/68, 36/31, 24/603 is 23400.
LCM(52/89, 50/68, 36/31, 24/603) = 23400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/89,50/68,36/31,24/603
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 52,50,36,24
Least Common Multiple of Numerators i.e. LCM of 52,50,36,24 is 23400.
GCF of Denominators means GCF of 89,68,31,603 as per the given fractions.
GCF of 89,68,31,603 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,50,36,24
2 | 52, 50, 36, 24 |
2 | 26, 25, 18, 12 |
3 | 13, 25, 9, 6 |
13, 25, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 25 x 3 x 2 = 23400
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 52,50,36,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,50,36,24) = 2
common factors(in case of two or more numbers have common factors) = 48
GCF(52,50,36,24) x common factors =2 x 48 = 96
LCM(52,50,36,24) = ( 52 × 50 × 36 × 24 ) / 96
LCM(52,50,36,24) = 2246400 / 96
LCM(52,50,36,24) = 23400
Lets's calculate GCF of 89,68,31,603
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23400/1
Therefore the LCM of Fractions 52/89,50/68,36/31,24/603 is 23400
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Greatest Common Factor
We found the factors 89,68,31,603 . The biggest common factor number is the GCF number.
So the greatest common factor 89,68,31,603 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 52/89, 50/68, 36/31, 24/603?
Answer: LCM of Numerators as per given numbers 52/89, 50/68, 36/31, 24/603 is
LCM of Numerators i.e. for 52,50,36,24 is 23400
GCF of denominators i.e. for 89,68,31,603 is 1.
Thus, LCM of Fractions is 23400.Finally, LCM of Fractions for 52/89, 50/68, 36/31, 24/603 is 23400.