Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 726/753, 104/642 quickly i.e. 12584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 726/753, 104/642 is 12584.
LCM(726/753, 104/642) = 12584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 726/753,104/642
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 726,104
Least Common Multiple of Numerators i.e. LCM of 726,104 is 37752.
GCF of Denominators means GCF of 753,642 as per the given fractions.
GCF of 753,642 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 726,104
2 | 726, 104 |
363, 52 |
∴ So the LCM of the given numbers is 2 x 363 x 52 = 37752
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 726,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,104) x common factors =2 x 1 = 2
LCM(726,104) = ( 726 × 104 ) / 2
LCM(726,104) = 75504 / 2
LCM(726,104) = 37752
Lets's calculate GCF of 753,642
3 | 753, 642 |
251, 214 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37752/3
Therefore the LCM of Fractions 726/753,104/642 is 12584
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 753,642 . The biggest common factor number is the GCF number.
So the greatest common factor 753,642 is 3.
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 726/753, 104/642?
Answer: LCM of Numerators as per given numbers 726/753, 104/642 is
LCM of Numerators i.e. for 726,104 is 37752
GCF of denominators i.e. for 753,642 is 3.
Thus, LCM of Fractions is 12584.Finally, LCM of Fractions for 726/753, 104/642 is 12584.