Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4755/500, 4477/3452 quickly i.e. 21288135/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4755/500, 4477/3452 is 21288135/4.
LCM(4755/500, 4477/3452) = 21288135/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4755/500,4477/3452
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 4755,4477
Least Common Multiple of Numerators i.e. LCM of 4755,4477 is 21288135.
GCF of Denominators means GCF of 500,3452 as per the given fractions.
GCF of 500,3452 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4755,4477
Given numbers has no common factors except 1. So, there LCM is their product i.e 21288135
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 4755,4477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4755,4477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4755,4477) x common factors =1 x 1 = 1
LCM(4755,4477) = ( 4755 × 4477 ) / 1
LCM(4755,4477) = 21288135 / 1
LCM(4755,4477) = 21288135
Lets's calculate GCF of 500,3452
2 | 500, 3452 |
2 | 250, 1726 |
125, 863 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21288135/4
Therefore the LCM of Fractions 4755/500,4477/3452 is 21288135/4
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 3452
List of positive integer factors of 3452 that divides 3452 without a remainder.
1,2,4,863,1726,3452
Greatest Common Factor
We found the factors 500,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 500,3452 is 4.
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 4755/500, 4477/3452?
Answer: LCM of Numerators as per given numbers 4755/500, 4477/3452 is
LCM of Numerators i.e. for 4755,4477 is 21288135
GCF of denominators i.e. for 500,3452 is 4.
Thus, LCM of Fractions is 21288135/4.Finally, LCM of Fractions for 4755/500, 4477/3452 is 21288135/4.