Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/29, 28/50, 59/38, 89/800 quickly i.e. 6910316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/29, 28/50, 59/38, 89/800 is 6910316.
LCM(94/29, 28/50, 59/38, 89/800) = 6910316
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/29,28/50,59/38,89/800
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 94,28,59,89
Least Common Multiple of Numerators i.e. LCM of 94,28,59,89 is 6910316.
GCF of Denominators means GCF of 29,50,38,800 as per the given fractions.
GCF of 29,50,38,800 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,28,59,89
2 | 94, 28, 59, 89 |
47, 14, 59, 89 |
∴ So the LCM of the given numbers is 2 x 47 x 14 x 59 x 89 = 6910316
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 94,28,59,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,28,59,89) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,28,59,89) x common factors =1 x 2 = 2
LCM(94,28,59,89) = ( 94 × 28 × 59 × 89 ) / 2
LCM(94,28,59,89) = 13820632 / 2
LCM(94,28,59,89) = 6910316
Lets's calculate GCF of 29,50,38,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6910316/1
Therefore the LCM of Fractions 94/29,28/50,59/38,89/800 is 6910316
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 29,50,38,800 . The biggest common factor number is the GCF number.
So the greatest common factor 29,50,38,800 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 94/29, 28/50, 59/38, 89/800?
Answer: LCM of Numerators as per given numbers 94/29, 28/50, 59/38, 89/800 is
LCM of Numerators i.e. for 94,28,59,89 is 6910316
GCF of denominators i.e. for 29,50,38,800 is 1.
Thus, LCM of Fractions is 6910316.Finally, LCM of Fractions for 94/29, 28/50, 59/38, 89/800 is 6910316.