Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 567/78, 664/13, 395/773 quickly i.e. 148712760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 567/78, 664/13, 395/773 is 148712760.
LCM(567/78, 664/13, 395/773) = 148712760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 567/78,664/13,395/773
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 567,664,395
Least Common Multiple of Numerators i.e. LCM of 567,664,395 is 148712760.
GCF of Denominators means GCF of 78,13,773 as per the given fractions.
GCF of 78,13,773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 567,664,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 148712760
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 567,664,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,664,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,664,395) x common factors =1 x 1 = 1
LCM(567,664,395) = ( 567 × 664 × 395 ) / 1
LCM(567,664,395) = 148712760 / 1
LCM(567,664,395) = 148712760
Lets's calculate GCF of 78,13,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148712760/1
Therefore the LCM of Fractions 567/78,664/13,395/773 is 148712760
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 78,13,773 . The biggest common factor number is the GCF number.
So the greatest common factor 78,13,773 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 567/78, 664/13, 395/773?
Answer: LCM of Numerators as per given numbers 567/78, 664/13, 395/773 is
LCM of Numerators i.e. for 567,664,395 is 148712760
GCF of denominators i.e. for 78,13,773 is 1.
Thus, LCM of Fractions is 148712760.Finally, LCM of Fractions for 567/78, 664/13, 395/773 is 148712760.