Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9062/869, 3472/4259 quickly i.e. 15731632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9062/869, 3472/4259 is 15731632.
LCM(9062/869, 3472/4259) = 15731632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9062/869,3472/4259
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 9062,3472
Least Common Multiple of Numerators i.e. LCM of 9062,3472 is 15731632.
GCF of Denominators means GCF of 869,4259 as per the given fractions.
GCF of 869,4259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9062,3472
2 | 9062, 3472 |
4531, 1736 |
∴ So the LCM of the given numbers is 2 x 4531 x 1736 = 15731632
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 9062,3472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9062,3472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9062,3472) x common factors =2 x 1 = 2
LCM(9062,3472) = ( 9062 × 3472 ) / 2
LCM(9062,3472) = 31463264 / 2
LCM(9062,3472) = 15731632
Lets's calculate GCF of 869,4259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15731632/1
Therefore the LCM of Fractions 9062/869,3472/4259 is 15731632
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 4259
List of positive integer factors of 4259 that divides 4259 without a remainder.
1,4259
Greatest Common Factor
We found the factors 869,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 869,4259 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 9062/869, 3472/4259?
Answer: LCM of Numerators as per given numbers 9062/869, 3472/4259 is
LCM of Numerators i.e. for 9062,3472 is 15731632
GCF of denominators i.e. for 869,4259 is 1.
Thus, LCM of Fractions is 15731632.Finally, LCM of Fractions for 9062/869, 3472/4259 is 15731632.