Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/567, 6517/6781 quickly i.e. 358435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/567, 6517/6781 is 358435.
LCM(55/567, 6517/6781) = 358435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/567,6517/6781
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 55,6517
Least Common Multiple of Numerators i.e. LCM of 55,6517 is 358435.
GCF of Denominators means GCF of 567,6781 as per the given fractions.
GCF of 567,6781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,6517
Given numbers has no common factors except 1. So, there LCM is their product i.e 358435
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 55,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,6517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,6517) x common factors =1 x 1 = 1
LCM(55,6517) = ( 55 × 6517 ) / 1
LCM(55,6517) = 358435 / 1
LCM(55,6517) = 358435
Lets's calculate GCF of 567,6781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358435/1
Therefore the LCM of Fractions 55/567,6517/6781 is 358435
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 6781
List of positive integer factors of 6781 that divides 6781 without a remainder.
1,6781
Greatest Common Factor
We found the factors 567,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 567,6781 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 55/567, 6517/6781?
Answer: LCM of Numerators as per given numbers 55/567, 6517/6781 is
LCM of Numerators i.e. for 55,6517 is 358435
GCF of denominators i.e. for 567,6781 is 1.
Thus, LCM of Fractions is 358435.Finally, LCM of Fractions for 55/567, 6517/6781 is 358435.