Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/648, 11/678, 43/863 quickly i.e. 2365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/648, 11/678, 43/863 is 2365.
LCM(5/648, 11/678, 43/863) = 2365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/648,11/678,43/863
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 5,11,43
Least Common Multiple of Numerators i.e. LCM of 5,11,43 is 2365.
GCF of Denominators means GCF of 648,678,863 as per the given fractions.
GCF of 648,678,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,11,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 2365
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 5,11,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,11,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,11,43) x common factors =1 x 1 = 1
LCM(5,11,43) = ( 5 × 11 × 43 ) / 1
LCM(5,11,43) = 2365 / 1
LCM(5,11,43) = 2365
Lets's calculate GCF of 648,678,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2365/1
Therefore the LCM of Fractions 5/648,11/678,43/863 is 2365
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 648,678,863 . The biggest common factor number is the GCF number.
So the greatest common factor 648,678,863 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 5/648, 11/678, 43/863?
Answer: LCM of Numerators as per given numbers 5/648, 11/678, 43/863 is
LCM of Numerators i.e. for 5,11,43 is 2365
GCF of denominators i.e. for 648,678,863 is 1.
Thus, LCM of Fractions is 2365.Finally, LCM of Fractions for 5/648, 11/678, 43/863 is 2365.