Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7065/851, 5589/6334 quickly i.e. 4387365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7065/851, 5589/6334 is 4387365.
LCM(7065/851, 5589/6334) = 4387365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7065/851,5589/6334
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 7065,5589
Least Common Multiple of Numerators i.e. LCM of 7065,5589 is 4387365.
GCF of Denominators means GCF of 851,6334 as per the given fractions.
GCF of 851,6334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7065,5589
3 | 7065, 5589 |
3 | 2355, 1863 |
785, 621 |
∴ So the LCM of the given numbers is 3 x 3 x 785 x 621 = 4387365
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 7065,5589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7065,5589) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(7065,5589) x common factors =9 x 1 = 9
LCM(7065,5589) = ( 7065 × 5589 ) / 9
LCM(7065,5589) = 39486285 / 9
LCM(7065,5589) = 4387365
Lets's calculate GCF of 851,6334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4387365/1
Therefore the LCM of Fractions 7065/851,5589/6334 is 4387365
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 6334
List of positive integer factors of 6334 that divides 6334 without a remainder.
1,2,3167,6334
Greatest Common Factor
We found the factors 851,6334 . The biggest common factor number is the GCF number.
So the greatest common factor 851,6334 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 7065/851, 5589/6334?
Answer: LCM of Numerators as per given numbers 7065/851, 5589/6334 is
LCM of Numerators i.e. for 7065,5589 is 4387365
GCF of denominators i.e. for 851,6334 is 1.
Thus, LCM of Fractions is 4387365.Finally, LCM of Fractions for 7065/851, 5589/6334 is 4387365.