Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 338/660, 6030/2045 quickly i.e. 203814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 338/660, 6030/2045 is 203814.
LCM(338/660, 6030/2045) = 203814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 338/660,6030/2045
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 338,6030
Least Common Multiple of Numerators i.e. LCM of 338,6030 is 1019070.
GCF of Denominators means GCF of 660,2045 as per the given fractions.
GCF of 660,2045 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 338,6030
2 | 338, 6030 |
169, 3015 |
∴ So the LCM of the given numbers is 2 x 169 x 3015 = 1019070
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 338,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,6030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,6030) x common factors =2 x 1 = 2
LCM(338,6030) = ( 338 × 6030 ) / 2
LCM(338,6030) = 2038140 / 2
LCM(338,6030) = 1019070
Lets's calculate GCF of 660,2045
5 | 660, 2045 |
132, 409 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1019070/5
Therefore the LCM of Fractions 338/660,6030/2045 is 203814
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 2045
List of positive integer factors of 2045 that divides 2045 without a remainder.
1,5,409,2045
Greatest Common Factor
We found the factors 660,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 660,2045 is 5.
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 338/660, 6030/2045?
Answer: LCM of Numerators as per given numbers 338/660, 6030/2045 is
LCM of Numerators i.e. for 338,6030 is 1019070
GCF of denominators i.e. for 660,2045 is 5.
Thus, LCM of Fractions is 203814.Finally, LCM of Fractions for 338/660, 6030/2045 is 203814.