Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8996/575, 3252/8699 quickly i.e. 7313748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8996/575, 3252/8699 is 7313748.
LCM(8996/575, 3252/8699) = 7313748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8996/575,3252/8699
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 8996,3252
Least Common Multiple of Numerators i.e. LCM of 8996,3252 is 7313748.
GCF of Denominators means GCF of 575,8699 as per the given fractions.
GCF of 575,8699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8996,3252
2 | 8996, 3252 |
2 | 4498, 1626 |
2249, 813 |
∴ So the LCM of the given numbers is 2 x 2 x 2249 x 813 = 7313748
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 8996,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8996,3252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(8996,3252) x common factors =4 x 1 = 4
LCM(8996,3252) = ( 8996 × 3252 ) / 4
LCM(8996,3252) = 29254992 / 4
LCM(8996,3252) = 7313748
Lets's calculate GCF of 575,8699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7313748/1
Therefore the LCM of Fractions 8996/575,3252/8699 is 7313748
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 8699
List of positive integer factors of 8699 that divides 8699 without a remainder.
1,8699
Greatest Common Factor
We found the factors 575,8699 . The biggest common factor number is the GCF number.
So the greatest common factor 575,8699 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 8996/575, 3252/8699?
Answer: LCM of Numerators as per given numbers 8996/575, 3252/8699 is
LCM of Numerators i.e. for 8996,3252 is 7313748
GCF of denominators i.e. for 575,8699 is 1.
Thus, LCM of Fractions is 7313748.Finally, LCM of Fractions for 8996/575, 3252/8699 is 7313748.