Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2800/113, 4301/330 quickly i.e. 12042800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2800/113, 4301/330 is 12042800.
LCM(2800/113, 4301/330) = 12042800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2800/113,4301/330
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 2800,4301
Least Common Multiple of Numerators i.e. LCM of 2800,4301 is 12042800.
GCF of Denominators means GCF of 113,330 as per the given fractions.
GCF of 113,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2800,4301
Given numbers has no common factors except 1. So, there LCM is their product i.e 12042800
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 2800,4301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2800,4301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2800,4301) x common factors =1 x 1 = 1
LCM(2800,4301) = ( 2800 × 4301 ) / 1
LCM(2800,4301) = 12042800 / 1
LCM(2800,4301) = 12042800
Lets's calculate GCF of 113,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12042800/1
Therefore the LCM of Fractions 2800/113,4301/330 is 12042800
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 113,330 . The biggest common factor number is the GCF number.
So the greatest common factor 113,330 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 2800/113, 4301/330?
Answer: LCM of Numerators as per given numbers 2800/113, 4301/330 is
LCM of Numerators i.e. for 2800,4301 is 12042800
GCF of denominators i.e. for 113,330 is 1.
Thus, LCM of Fractions is 12042800.Finally, LCM of Fractions for 2800/113, 4301/330 is 12042800.