Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/444, 455/352, 623/599 quickly i.e. 445445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/444, 455/352, 623/599 is 445445.
LCM(11/444, 455/352, 623/599) = 445445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/444,455/352,623/599
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 11,455,623
Least Common Multiple of Numerators i.e. LCM of 11,455,623 is 445445.
GCF of Denominators means GCF of 444,352,599 as per the given fractions.
GCF of 444,352,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,455,623
7 | 11, 455, 623 |
11, 65, 89 |
∴ So the LCM of the given numbers is 7 x 11 x 65 x 89 = 445445
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 11,455,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,455,623) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(11,455,623) x common factors =1 x 7 = 7
LCM(11,455,623) = ( 11 × 455 × 623 ) / 7
LCM(11,455,623) = 3118115 / 7
LCM(11,455,623) = 445445
Lets's calculate GCF of 444,352,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445445/1
Therefore the LCM of Fractions 11/444,455/352,623/599 is 445445
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 444,352,599 . The biggest common factor number is the GCF number.
So the greatest common factor 444,352,599 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 11/444, 455/352, 623/599?
Answer: LCM of Numerators as per given numbers 11/444, 455/352, 623/599 is
LCM of Numerators i.e. for 11,455,623 is 445445
GCF of denominators i.e. for 444,352,599 is 1.
Thus, LCM of Fractions is 445445.Finally, LCM of Fractions for 11/444, 455/352, 623/599 is 445445.