Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/555, 5077/8790 quickly i.e. 1233711/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/555, 5077/8790 is 1233711/15.
LCM(243/555, 5077/8790) = 1233711/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/555,5077/8790
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 243,5077
Least Common Multiple of Numerators i.e. LCM of 243,5077 is 1233711.
GCF of Denominators means GCF of 555,8790 as per the given fractions.
GCF of 555,8790 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,5077
Given numbers has no common factors except 1. So, there LCM is their product i.e 1233711
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 243,5077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,5077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,5077) x common factors =1 x 1 = 1
LCM(243,5077) = ( 243 × 5077 ) / 1
LCM(243,5077) = 1233711 / 1
LCM(243,5077) = 1233711
Lets's calculate GCF of 555,8790
3 | 555, 8790 |
5 | 185, 2930 |
37, 586 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1233711/15
Therefore the LCM of Fractions 243/555,5077/8790 is 1233711/15
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 8790
List of positive integer factors of 8790 that divides 8790 without a remainder.
1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790
Greatest Common Factor
We found the factors 555,8790 . The biggest common factor number is the GCF number.
So the greatest common factor 555,8790 is 15.
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 243/555, 5077/8790?
Answer: LCM of Numerators as per given numbers 243/555, 5077/8790 is
LCM of Numerators i.e. for 243,5077 is 1233711
GCF of denominators i.e. for 555,8790 is 15.
Thus, LCM of Fractions is 1233711/15.Finally, LCM of Fractions for 243/555, 5077/8790 is 1233711/15.