Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/734, 4588/6133 quickly i.e. 770784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/734, 4588/6133 is 770784.
LCM(672/734, 4588/6133) = 770784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/734,4588/6133
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 672,4588
Least Common Multiple of Numerators i.e. LCM of 672,4588 is 770784.
GCF of Denominators means GCF of 734,6133 as per the given fractions.
GCF of 734,6133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,4588
2 | 672, 4588 |
2 | 336, 2294 |
168, 1147 |
∴ So the LCM of the given numbers is 2 x 2 x 168 x 1147 = 770784
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 672,4588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,4588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(672,4588) x common factors =4 x 1 = 4
LCM(672,4588) = ( 672 × 4588 ) / 4
LCM(672,4588) = 3083136 / 4
LCM(672,4588) = 770784
Lets's calculate GCF of 734,6133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770784/1
Therefore the LCM of Fractions 672/734,4588/6133 is 770784
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 6133
List of positive integer factors of 6133 that divides 6133 without a remainder.
1,6133
Greatest Common Factor
We found the factors 734,6133 . The biggest common factor number is the GCF number.
So the greatest common factor 734,6133 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 672/734, 4588/6133?
Answer: LCM of Numerators as per given numbers 672/734, 4588/6133 is
LCM of Numerators i.e. for 672,4588 is 770784
GCF of denominators i.e. for 734,6133 is 1.
Thus, LCM of Fractions is 770784.Finally, LCM of Fractions for 672/734, 4588/6133 is 770784.