Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 601/206, 4586/2700 quickly i.e. 1378093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 601/206, 4586/2700 is 1378093.
LCM(601/206, 4586/2700) = 1378093
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 601/206,4586/2700
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 601,4586
Least Common Multiple of Numerators i.e. LCM of 601,4586 is 2756186.
GCF of Denominators means GCF of 206,2700 as per the given fractions.
GCF of 206,2700 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 601,4586
Given numbers has no common factors except 1. So, there LCM is their product i.e 2756186
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 601,4586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,4586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,4586) x common factors =1 x 1 = 1
LCM(601,4586) = ( 601 × 4586 ) / 1
LCM(601,4586) = 2756186 / 1
LCM(601,4586) = 2756186
Lets's calculate GCF of 206,2700
2 | 206, 2700 |
103, 1350 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2756186/2
Therefore the LCM of Fractions 601/206,4586/2700 is 1378093
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 2700
List of positive integer factors of 2700 that divides 2700 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Greatest Common Factor
We found the factors 206,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 206,2700 is 2.
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 601/206, 4586/2700?
Answer: LCM of Numerators as per given numbers 601/206, 4586/2700 is
LCM of Numerators i.e. for 601,4586 is 2756186
GCF of denominators i.e. for 206,2700 is 2.
Thus, LCM of Fractions is 1378093.Finally, LCM of Fractions for 601/206, 4586/2700 is 1378093.