Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/555, 89/643, 660/999 quickly i.e. 1116060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/555, 89/643, 660/999 is 1116060.
LCM(38/555, 89/643, 660/999) = 1116060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/555,89/643,660/999
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 38,89,660
Least Common Multiple of Numerators i.e. LCM of 38,89,660 is 1116060.
GCF of Denominators means GCF of 555,643,999 as per the given fractions.
GCF of 555,643,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,89,660
2 | 38, 89, 660 |
19, 89, 330 |
∴ So the LCM of the given numbers is 2 x 19 x 89 x 330 = 1116060
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 38,89,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,89,660) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,89,660) x common factors =1 x 2 = 2
LCM(38,89,660) = ( 38 × 89 × 660 ) / 2
LCM(38,89,660) = 2232120 / 2
LCM(38,89,660) = 1116060
Lets's calculate GCF of 555,643,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1116060/1
Therefore the LCM of Fractions 38/555,89/643,660/999 is 1116060
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 555,643,999 . The biggest common factor number is the GCF number.
So the greatest common factor 555,643,999 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 38/555, 89/643, 660/999?
Answer: LCM of Numerators as per given numbers 38/555, 89/643, 660/999 is
LCM of Numerators i.e. for 38,89,660 is 1116060
GCF of denominators i.e. for 555,643,999 is 1.
Thus, LCM of Fractions is 1116060.Finally, LCM of Fractions for 38/555, 89/643, 660/999 is 1116060.