Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/558, 559/775, 999/906 quickly i.e. 46350603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/558, 559/775, 999/906 is 46350603.
LCM(83/558, 559/775, 999/906) = 46350603
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/558,559/775,999/906
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 83,559,999
Least Common Multiple of Numerators i.e. LCM of 83,559,999 is 46350603.
GCF of Denominators means GCF of 558,775,906 as per the given fractions.
GCF of 558,775,906 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,559,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 46350603
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 83,559,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,559,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,559,999) x common factors =1 x 1 = 1
LCM(83,559,999) = ( 83 × 559 × 999 ) / 1
LCM(83,559,999) = 46350603 / 1
LCM(83,559,999) = 46350603
Lets's calculate GCF of 558,775,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46350603/1
Therefore the LCM of Fractions 83/558,559/775,999/906 is 46350603
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 558,775,906 . The biggest common factor number is the GCF number.
So the greatest common factor 558,775,906 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 83/558, 559/775, 999/906?
Answer: LCM of Numerators as per given numbers 83/558, 559/775, 999/906 is
LCM of Numerators i.e. for 83,559,999 is 46350603
GCF of denominators i.e. for 558,775,906 is 1.
Thus, LCM of Fractions is 46350603.Finally, LCM of Fractions for 83/558, 559/775, 999/906 is 46350603.