Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8002/420, 5661/3557 quickly i.e. 45299322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8002/420, 5661/3557 is 45299322.
LCM(8002/420, 5661/3557) = 45299322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8002/420,5661/3557
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 8002,5661
Least Common Multiple of Numerators i.e. LCM of 8002,5661 is 45299322.
GCF of Denominators means GCF of 420,3557 as per the given fractions.
GCF of 420,3557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8002,5661
Given numbers has no common factors except 1. So, there LCM is their product i.e 45299322
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 8002,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8002,5661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8002,5661) x common factors =1 x 1 = 1
LCM(8002,5661) = ( 8002 × 5661 ) / 1
LCM(8002,5661) = 45299322 / 1
LCM(8002,5661) = 45299322
Lets's calculate GCF of 420,3557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45299322/1
Therefore the LCM of Fractions 8002/420,5661/3557 is 45299322
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 3557
List of positive integer factors of 3557 that divides 3557 without a remainder.
1,3557
Greatest Common Factor
We found the factors 420,3557 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3557 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 8002/420, 5661/3557?
Answer: LCM of Numerators as per given numbers 8002/420, 5661/3557 is
LCM of Numerators i.e. for 8002,5661 is 45299322
GCF of denominators i.e. for 420,3557 is 1.
Thus, LCM of Fractions is 45299322.Finally, LCM of Fractions for 8002/420, 5661/3557 is 45299322.