Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2002/919, 4259/5070 quickly i.e. 8526518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2002/919, 4259/5070 is 8526518.
LCM(2002/919, 4259/5070) = 8526518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2002/919,4259/5070
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 2002,4259
Least Common Multiple of Numerators i.e. LCM of 2002,4259 is 8526518.
GCF of Denominators means GCF of 919,5070 as per the given fractions.
GCF of 919,5070 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2002,4259
Given numbers has no common factors except 1. So, there LCM is their product i.e 8526518
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 2002,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2002,4259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2002,4259) x common factors =1 x 1 = 1
LCM(2002,4259) = ( 2002 × 4259 ) / 1
LCM(2002,4259) = 8526518 / 1
LCM(2002,4259) = 8526518
Lets's calculate GCF of 919,5070
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8526518/1
Therefore the LCM of Fractions 2002/919,4259/5070 is 8526518
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 5070
List of positive integer factors of 5070 that divides 5070 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors 919,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 919,5070 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 2002/919, 4259/5070?
Answer: LCM of Numerators as per given numbers 2002/919, 4259/5070 is
LCM of Numerators i.e. for 2002,4259 is 8526518
GCF of denominators i.e. for 919,5070 is 1.
Thus, LCM of Fractions is 8526518.Finally, LCM of Fractions for 2002/919, 4259/5070 is 8526518.