Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 722/81, 691/3498 quickly i.e. 498902/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 722/81, 691/3498 is 498902/3.
LCM(722/81, 691/3498) = 498902/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 722/81,691/3498
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 722,691
Least Common Multiple of Numerators i.e. LCM of 722,691 is 498902.
GCF of Denominators means GCF of 81,3498 as per the given fractions.
GCF of 81,3498 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 722,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 498902
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 722,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,691) x common factors =1 x 1 = 1
LCM(722,691) = ( 722 × 691 ) / 1
LCM(722,691) = 498902 / 1
LCM(722,691) = 498902
Lets's calculate GCF of 81,3498
3 | 81, 3498 |
27, 1166 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498902/3
Therefore the LCM of Fractions 722/81,691/3498 is 498902/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 81,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 81,3498 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 722/81, 691/3498?
Answer: LCM of Numerators as per given numbers 722/81, 691/3498 is
LCM of Numerators i.e. for 722,691 is 498902
GCF of denominators i.e. for 81,3498 is 3.
Thus, LCM of Fractions is 498902/3.Finally, LCM of Fractions for 722/81, 691/3498 is 498902/3.