Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8100/739, 4526/599 quickly i.e. 18330300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8100/739, 4526/599 is 18330300.
LCM(8100/739, 4526/599) = 18330300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8100/739,4526/599
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 8100,4526
Least Common Multiple of Numerators i.e. LCM of 8100,4526 is 18330300.
GCF of Denominators means GCF of 739,599 as per the given fractions.
GCF of 739,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8100,4526
2 | 8100, 4526 |
4050, 2263 |
∴ So the LCM of the given numbers is 2 x 4050 x 2263 = 18330300
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 8100,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8100,4526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8100,4526) x common factors =2 x 1 = 2
LCM(8100,4526) = ( 8100 × 4526 ) / 2
LCM(8100,4526) = 36660600 / 2
LCM(8100,4526) = 18330300
Lets's calculate GCF of 739,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18330300/1
Therefore the LCM of Fractions 8100/739,4526/599 is 18330300
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 739,599 . The biggest common factor number is the GCF number.
So the greatest common factor 739,599 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 8100/739, 4526/599?
Answer: LCM of Numerators as per given numbers 8100/739, 4526/599 is
LCM of Numerators i.e. for 8100,4526 is 18330300
GCF of denominators i.e. for 739,599 is 1.
Thus, LCM of Fractions is 18330300.Finally, LCM of Fractions for 8100/739, 4526/599 is 18330300.