Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 555/99, 385/73, 888/355 quickly i.e. 341880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 555/99, 385/73, 888/355 is 341880.
LCM(555/99, 385/73, 888/355) = 341880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 555/99,385/73,888/355
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 555,385,888
Least Common Multiple of Numerators i.e. LCM of 555,385,888 is 341880.
GCF of Denominators means GCF of 99,73,355 as per the given fractions.
GCF of 99,73,355 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 555,385,888
3 | 555, 385, 888 |
5 | 185, 385, 296 |
37 | 37, 77, 296 |
1, 77, 8 |
∴ So the LCM of the given numbers is 3 x 5 x 37 x 1 x 77 x 8 = 341880
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 555,385,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,385,888) = 1
common factors(in case of two or more numbers have common factors) = 555
GCF(555,385,888) x common factors =1 x 555 = 555
LCM(555,385,888) = ( 555 × 385 × 888 ) / 555
LCM(555,385,888) = 189743400 / 555
LCM(555,385,888) = 341880
Lets's calculate GCF of 99,73,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341880/1
Therefore the LCM of Fractions 555/99,385/73,888/355 is 341880
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 99,73,355 . The biggest common factor number is the GCF number.
So the greatest common factor 99,73,355 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 555/99, 385/73, 888/355?
Answer: LCM of Numerators as per given numbers 555/99, 385/73, 888/355 is
LCM of Numerators i.e. for 555,385,888 is 341880
GCF of denominators i.e. for 99,73,355 is 1.
Thus, LCM of Fractions is 341880.Finally, LCM of Fractions for 555/99, 385/73, 888/355 is 341880.