Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 711/14, 911/6040 quickly i.e. 647721/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 711/14, 911/6040 is 647721/2.
LCM(711/14, 911/6040) = 647721/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 711/14,911/6040
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 711,911
Least Common Multiple of Numerators i.e. LCM of 711,911 is 647721.
GCF of Denominators means GCF of 14,6040 as per the given fractions.
GCF of 14,6040 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 711,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 647721
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 711,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,911) x common factors =1 x 1 = 1
LCM(711,911) = ( 711 × 911 ) / 1
LCM(711,911) = 647721 / 1
LCM(711,911) = 647721
Lets's calculate GCF of 14,6040
2 | 14, 6040 |
7, 3020 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647721/2
Therefore the LCM of Fractions 711/14,911/6040 is 647721/2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 6040
List of positive integer factors of 6040 that divides 6040 without a remainder.
1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Greatest Common Factor
We found the factors 14,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 14,6040 is 2.
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 711/14, 911/6040?
Answer: LCM of Numerators as per given numbers 711/14, 911/6040 is
LCM of Numerators i.e. for 711,911 is 647721
GCF of denominators i.e. for 14,6040 is 2.
Thus, LCM of Fractions is 647721/2.Finally, LCM of Fractions for 711/14, 911/6040 is 647721/2.