Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/37, 60/44, 32/87, 67/353 quickly i.e. 160800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/37, 60/44, 32/87, 67/353 is 160800.
LCM(50/37, 60/44, 32/87, 67/353) = 160800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/37,60/44,32/87,67/353
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 50,60,32,67
Least Common Multiple of Numerators i.e. LCM of 50,60,32,67 is 160800.
GCF of Denominators means GCF of 37,44,87,353 as per the given fractions.
GCF of 37,44,87,353 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,60,32,67
2 | 50, 60, 32, 67 |
2 | 25, 30, 16, 67 |
5 | 25, 15, 8, 67 |
5, 3, 8, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 3 x 8 x 67 = 160800
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 50,60,32,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,60,32,67) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(50,60,32,67) x common factors =1 x 40 = 40
LCM(50,60,32,67) = ( 50 × 60 × 32 × 67 ) / 40
LCM(50,60,32,67) = 6432000 / 40
LCM(50,60,32,67) = 160800
Lets's calculate GCF of 37,44,87,353
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160800/1
Therefore the LCM of Fractions 50/37,60/44,32/87,67/353 is 160800
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Greatest Common Factor
We found the factors 37,44,87,353 . The biggest common factor number is the GCF number.
So the greatest common factor 37,44,87,353 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 50/37, 60/44, 32/87, 67/353?
Answer: LCM of Numerators as per given numbers 50/37, 60/44, 32/87, 67/353 is
LCM of Numerators i.e. for 50,60,32,67 is 160800
GCF of denominators i.e. for 37,44,87,353 is 1.
Thus, LCM of Fractions is 160800.Finally, LCM of Fractions for 50/37, 60/44, 32/87, 67/353 is 160800.