Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/677, 992/305, 872/561 quickly i.e. 4649504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/677, 992/305, 872/561 is 4649504.
LCM(43/677, 992/305, 872/561) = 4649504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/677,992/305,872/561
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 43,992,872
Least Common Multiple of Numerators i.e. LCM of 43,992,872 is 4649504.
GCF of Denominators means GCF of 677,305,561 as per the given fractions.
GCF of 677,305,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,992,872
2 | 43, 992, 872 |
2 | 43, 496, 436 |
2 | 43, 248, 218 |
43, 124, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 124 x 109 = 4649504
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 43,992,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,992,872) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(43,992,872) x common factors =1 x 8 = 8
LCM(43,992,872) = ( 43 × 992 × 872 ) / 8
LCM(43,992,872) = 37196032 / 8
LCM(43,992,872) = 4649504
Lets's calculate GCF of 677,305,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4649504/1
Therefore the LCM of Fractions 43/677,992/305,872/561 is 4649504
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 677,305,561 . The biggest common factor number is the GCF number.
So the greatest common factor 677,305,561 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 43/677, 992/305, 872/561?
Answer: LCM of Numerators as per given numbers 43/677, 992/305, 872/561 is
LCM of Numerators i.e. for 43,992,872 is 4649504
GCF of denominators i.e. for 677,305,561 is 1.
Thus, LCM of Fractions is 4649504.Finally, LCM of Fractions for 43/677, 992/305, 872/561 is 4649504.