Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 264/19, 595/51, 462/223 quickly i.e. 157080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 264/19, 595/51, 462/223 is 157080.
LCM(264/19, 595/51, 462/223) = 157080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 264/19,595/51,462/223
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 264,595,462
Least Common Multiple of Numerators i.e. LCM of 264,595,462 is 157080.
GCF of Denominators means GCF of 19,51,223 as per the given fractions.
GCF of 19,51,223 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 264,595,462
2 | 264, 595, 462 |
3 | 132, 595, 231 |
7 | 44, 595, 77 |
11 | 44, 85, 11 |
4, 85, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 4 x 85 x 1 = 157080
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 264,595,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,595,462) = 1
common factors(in case of two or more numbers have common factors) = 462
GCF(264,595,462) x common factors =1 x 462 = 462
LCM(264,595,462) = ( 264 × 595 × 462 ) / 462
LCM(264,595,462) = 72570960 / 462
LCM(264,595,462) = 157080
Lets's calculate GCF of 19,51,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157080/1
Therefore the LCM of Fractions 264/19,595/51,462/223 is 157080
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 19,51,223 . The biggest common factor number is the GCF number.
So the greatest common factor 19,51,223 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 264/19, 595/51, 462/223?
Answer: LCM of Numerators as per given numbers 264/19, 595/51, 462/223 is
LCM of Numerators i.e. for 264,595,462 is 157080
GCF of denominators i.e. for 19,51,223 is 1.
Thus, LCM of Fractions is 157080.Finally, LCM of Fractions for 264/19, 595/51, 462/223 is 157080.