Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8612/723, 5332/272 quickly i.e. 11479796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8612/723, 5332/272 is 11479796.
LCM(8612/723, 5332/272) = 11479796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8612/723,5332/272
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 8612,5332
Least Common Multiple of Numerators i.e. LCM of 8612,5332 is 11479796.
GCF of Denominators means GCF of 723,272 as per the given fractions.
GCF of 723,272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8612,5332
2 | 8612, 5332 |
2 | 4306, 2666 |
2153, 1333 |
∴ So the LCM of the given numbers is 2 x 2 x 2153 x 1333 = 11479796
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 8612,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8612,5332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(8612,5332) x common factors =4 x 1 = 4
LCM(8612,5332) = ( 8612 × 5332 ) / 4
LCM(8612,5332) = 45919184 / 4
LCM(8612,5332) = 11479796
Lets's calculate GCF of 723,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11479796/1
Therefore the LCM of Fractions 8612/723,5332/272 is 11479796
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 723,272 . The biggest common factor number is the GCF number.
So the greatest common factor 723,272 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 8612/723, 5332/272?
Answer: LCM of Numerators as per given numbers 8612/723, 5332/272 is
LCM of Numerators i.e. for 8612,5332 is 11479796
GCF of denominators i.e. for 723,272 is 1.
Thus, LCM of Fractions is 11479796.Finally, LCM of Fractions for 8612/723, 5332/272 is 11479796.