Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/800, 4657/7187 quickly i.e. 433101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/800, 4657/7187 is 433101.
LCM(93/800, 4657/7187) = 433101
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/800,4657/7187
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 93,4657
Least Common Multiple of Numerators i.e. LCM of 93,4657 is 433101.
GCF of Denominators means GCF of 800,7187 as per the given fractions.
GCF of 800,7187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,4657
Given numbers has no common factors except 1. So, there LCM is their product i.e 433101
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 93,4657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,4657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,4657) x common factors =1 x 1 = 1
LCM(93,4657) = ( 93 × 4657 ) / 1
LCM(93,4657) = 433101 / 1
LCM(93,4657) = 433101
Lets's calculate GCF of 800,7187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433101/1
Therefore the LCM of Fractions 93/800,4657/7187 is 433101
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
Factors of 7187
List of positive integer factors of 7187 that divides 7187 without a remainder.
1,7187
Greatest Common Factor
We found the factors 800,7187 . The biggest common factor number is the GCF number.
So the greatest common factor 800,7187 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 93/800, 4657/7187?
Answer: LCM of Numerators as per given numbers 93/800, 4657/7187 is
LCM of Numerators i.e. for 93,4657 is 433101
GCF of denominators i.e. for 800,7187 is 1.
Thus, LCM of Fractions is 433101.Finally, LCM of Fractions for 93/800, 4657/7187 is 433101.