Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8421/365, 5003/985 quickly i.e. 42130263/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8421/365, 5003/985 is 42130263/5.
LCM(8421/365, 5003/985) = 42130263/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8421/365,5003/985
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 8421,5003
Least Common Multiple of Numerators i.e. LCM of 8421,5003 is 42130263.
GCF of Denominators means GCF of 365,985 as per the given fractions.
GCF of 365,985 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8421,5003
Given numbers has no common factors except 1. So, there LCM is their product i.e 42130263
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 8421,5003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8421,5003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8421,5003) x common factors =1 x 1 = 1
LCM(8421,5003) = ( 8421 × 5003 ) / 1
LCM(8421,5003) = 42130263 / 1
LCM(8421,5003) = 42130263
Lets's calculate GCF of 365,985
5 | 365, 985 |
73, 197 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42130263/5
Therefore the LCM of Fractions 8421/365,5003/985 is 42130263/5
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 365,985 . The biggest common factor number is the GCF number.
So the greatest common factor 365,985 is 5.
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 8421/365, 5003/985?
Answer: LCM of Numerators as per given numbers 8421/365, 5003/985 is
LCM of Numerators i.e. for 8421,5003 is 42130263
GCF of denominators i.e. for 365,985 is 5.
Thus, LCM of Fractions is 42130263/5.Finally, LCM of Fractions for 8421/365, 5003/985 is 42130263/5.