Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/661, 4981/3503 quickly i.e. 607682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/661, 4981/3503 is 607682.
LCM(122/661, 4981/3503) = 607682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/661,4981/3503
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 122,4981
Least Common Multiple of Numerators i.e. LCM of 122,4981 is 607682.
GCF of Denominators means GCF of 661,3503 as per the given fractions.
GCF of 661,3503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,4981
Given numbers has no common factors except 1. So, there LCM is their product i.e 607682
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 122,4981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,4981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,4981) x common factors =1 x 1 = 1
LCM(122,4981) = ( 122 × 4981 ) / 1
LCM(122,4981) = 607682 / 1
LCM(122,4981) = 607682
Lets's calculate GCF of 661,3503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607682/1
Therefore the LCM of Fractions 122/661,4981/3503 is 607682
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 3503
List of positive integer factors of 3503 that divides 3503 without a remainder.
1,31,113,3503
Greatest Common Factor
We found the factors 661,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 661,3503 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 122/661, 4981/3503?
Answer: LCM of Numerators as per given numbers 122/661, 4981/3503 is
LCM of Numerators i.e. for 122,4981 is 607682
GCF of denominators i.e. for 661,3503 is 1.
Thus, LCM of Fractions is 607682.Finally, LCM of Fractions for 122/661, 4981/3503 is 607682.