Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 505/190, 2133/4320 quickly i.e. 1077165/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 505/190, 2133/4320 is 1077165/10.
LCM(505/190, 2133/4320) = 1077165/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 505/190,2133/4320
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 505,2133
Least Common Multiple of Numerators i.e. LCM of 505,2133 is 1077165.
GCF of Denominators means GCF of 190,4320 as per the given fractions.
GCF of 190,4320 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 505,2133
Given numbers has no common factors except 1. So, there LCM is their product i.e 1077165
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 505,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,2133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,2133) x common factors =1 x 1 = 1
LCM(505,2133) = ( 505 × 2133 ) / 1
LCM(505,2133) = 1077165 / 1
LCM(505,2133) = 1077165
Lets's calculate GCF of 190,4320
2 | 190, 4320 |
5 | 95, 2160 |
19, 432 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077165/10
Therefore the LCM of Fractions 505/190,2133/4320 is 1077165/10
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 4320
List of positive integer factors of 4320 that divides 4320 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Greatest Common Factor
We found the factors 190,4320 . The biggest common factor number is the GCF number.
So the greatest common factor 190,4320 is 10.
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 505/190, 2133/4320?
Answer: LCM of Numerators as per given numbers 505/190, 2133/4320 is
LCM of Numerators i.e. for 505,2133 is 1077165
GCF of denominators i.e. for 190,4320 is 10.
Thus, LCM of Fractions is 1077165/10.Finally, LCM of Fractions for 505/190, 2133/4320 is 1077165/10.