Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/699, 1301/5721 quickly i.e. 71555/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/699, 1301/5721 is 71555/3.
LCM(55/699, 1301/5721) = 71555/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/699,1301/5721
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 55,1301
Least Common Multiple of Numerators i.e. LCM of 55,1301 is 71555.
GCF of Denominators means GCF of 699,5721 as per the given fractions.
GCF of 699,5721 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,1301
Given numbers has no common factors except 1. So, there LCM is their product i.e 71555
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 55,1301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,1301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,1301) x common factors =1 x 1 = 1
LCM(55,1301) = ( 55 × 1301 ) / 1
LCM(55,1301) = 71555 / 1
LCM(55,1301) = 71555
Lets's calculate GCF of 699,5721
3 | 699, 5721 |
233, 1907 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71555/3
Therefore the LCM of Fractions 55/699,1301/5721 is 71555/3
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1,3,1907,5721
Greatest Common Factor
We found the factors 699,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 699,5721 is 3.
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 55/699, 1301/5721?
Answer: LCM of Numerators as per given numbers 55/699, 1301/5721 is
LCM of Numerators i.e. for 55,1301 is 71555
GCF of denominators i.e. for 699,5721 is 3.
Thus, LCM of Fractions is 71555/3.Finally, LCM of Fractions for 55/699, 1301/5721 is 71555/3.