Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/568, 577/550, 498/109 quickly i.e. 8907726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/568, 577/550, 498/109 is 8907726.
LCM(93/568, 577/550, 498/109) = 8907726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/568,577/550,498/109
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 93,577,498
Least Common Multiple of Numerators i.e. LCM of 93,577,498 is 8907726.
GCF of Denominators means GCF of 568,550,109 as per the given fractions.
GCF of 568,550,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,577,498
3 | 93, 577, 498 |
31, 577, 166 |
∴ So the LCM of the given numbers is 3 x 31 x 577 x 166 = 8907726
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 93,577,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,577,498) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,577,498) x common factors =1 x 3 = 3
LCM(93,577,498) = ( 93 × 577 × 498 ) / 3
LCM(93,577,498) = 26723178 / 3
LCM(93,577,498) = 8907726
Lets's calculate GCF of 568,550,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8907726/1
Therefore the LCM of Fractions 93/568,577/550,498/109 is 8907726
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 568,550,109 . The biggest common factor number is the GCF number.
So the greatest common factor 568,550,109 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 93/568, 577/550, 498/109?
Answer: LCM of Numerators as per given numbers 93/568, 577/550, 498/109 is
LCM of Numerators i.e. for 93,577,498 is 8907726
GCF of denominators i.e. for 568,550,109 is 1.
Thus, LCM of Fractions is 8907726.Finally, LCM of Fractions for 93/568, 577/550, 498/109 is 8907726.