Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/599, 94/899, 510/360 quickly i.e. 263670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/599, 94/899, 510/360 is 263670.
LCM(33/599, 94/899, 510/360) = 263670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/599,94/899,510/360
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 33,94,510
Least Common Multiple of Numerators i.e. LCM of 33,94,510 is 263670.
GCF of Denominators means GCF of 599,899,360 as per the given fractions.
GCF of 599,899,360 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,94,510
2 | 33, 94, 510 |
3 | 33, 47, 255 |
11, 47, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 47 x 85 = 263670
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 33,94,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,94,510) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(33,94,510) x common factors =1 x 6 = 6
LCM(33,94,510) = ( 33 × 94 × 510 ) / 6
LCM(33,94,510) = 1582020 / 6
LCM(33,94,510) = 263670
Lets's calculate GCF of 599,899,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263670/1
Therefore the LCM of Fractions 33/599,94/899,510/360 is 263670
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 599,899,360 . The biggest common factor number is the GCF number.
So the greatest common factor 599,899,360 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 33/599, 94/899, 510/360?
Answer: LCM of Numerators as per given numbers 33/599, 94/899, 510/360 is
LCM of Numerators i.e. for 33,94,510 is 263670
GCF of denominators i.e. for 599,899,360 is 1.
Thus, LCM of Fractions is 263670.Finally, LCM of Fractions for 33/599, 94/899, 510/360 is 263670.