Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8147/419, 1157/3500 quickly i.e. 9426079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8147/419, 1157/3500 is 9426079.
LCM(8147/419, 1157/3500) = 9426079
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8147/419,1157/3500
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 8147,1157
Least Common Multiple of Numerators i.e. LCM of 8147,1157 is 9426079.
GCF of Denominators means GCF of 419,3500 as per the given fractions.
GCF of 419,3500 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8147,1157
Given numbers has no common factors except 1. So, there LCM is their product i.e 9426079
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 8147,1157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8147,1157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8147,1157) x common factors =1 x 1 = 1
LCM(8147,1157) = ( 8147 × 1157 ) / 1
LCM(8147,1157) = 9426079 / 1
LCM(8147,1157) = 9426079
Lets's calculate GCF of 419,3500
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9426079/1
Therefore the LCM of Fractions 8147/419,1157/3500 is 9426079
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 3500
List of positive integer factors of 3500 that divides 3500 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Greatest Common Factor
We found the factors 419,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 419,3500 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 8147/419, 1157/3500?
Answer: LCM of Numerators as per given numbers 8147/419, 1157/3500 is
LCM of Numerators i.e. for 8147,1157 is 9426079
GCF of denominators i.e. for 419,3500 is 1.
Thus, LCM of Fractions is 9426079.Finally, LCM of Fractions for 8147/419, 1157/3500 is 9426079.