Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 773/73, 6861/611 quickly i.e. 5303553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 773/73, 6861/611 is 5303553.
LCM(773/73, 6861/611) = 5303553
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 773/73,6861/611
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 773,6861
Least Common Multiple of Numerators i.e. LCM of 773,6861 is 5303553.
GCF of Denominators means GCF of 73,611 as per the given fractions.
GCF of 73,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 773,6861
Given numbers has no common factors except 1. So, there LCM is their product i.e 5303553
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 773,6861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,6861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,6861) x common factors =1 x 1 = 1
LCM(773,6861) = ( 773 × 6861 ) / 1
LCM(773,6861) = 5303553 / 1
LCM(773,6861) = 5303553
Lets's calculate GCF of 73,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5303553/1
Therefore the LCM of Fractions 773/73,6861/611 is 5303553
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 73,611 . The biggest common factor number is the GCF number.
So the greatest common factor 73,611 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 773/73, 6861/611?
Answer: LCM of Numerators as per given numbers 773/73, 6861/611 is
LCM of Numerators i.e. for 773,6861 is 5303553
GCF of denominators i.e. for 73,611 is 1.
Thus, LCM of Fractions is 5303553.Finally, LCM of Fractions for 773/73, 6861/611 is 5303553.