Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/756, 7454/5593 quickly i.e. 544142/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/756, 7454/5593 is 544142/7.
LCM(73/756, 7454/5593) = 544142/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/756,7454/5593
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 73,7454
Least Common Multiple of Numerators i.e. LCM of 73,7454 is 544142.
GCF of Denominators means GCF of 756,5593 as per the given fractions.
GCF of 756,5593 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,7454
Given numbers has no common factors except 1. So, there LCM is their product i.e 544142
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 73,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,7454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,7454) x common factors =1 x 1 = 1
LCM(73,7454) = ( 73 × 7454 ) / 1
LCM(73,7454) = 544142 / 1
LCM(73,7454) = 544142
Lets's calculate GCF of 756,5593
7 | 756, 5593 |
108, 799 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544142/7
Therefore the LCM of Fractions 73/756,7454/5593 is 544142/7
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 5593
List of positive integer factors of 5593 that divides 5593 without a remainder.
1,7,17,47,119,329,799,5593
Greatest Common Factor
We found the factors 756,5593 . The biggest common factor number is the GCF number.
So the greatest common factor 756,5593 is 7.
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 73/756, 7454/5593?
Answer: LCM of Numerators as per given numbers 73/756, 7454/5593 is
LCM of Numerators i.e. for 73,7454 is 544142
GCF of denominators i.e. for 756,5593 is 7.
Thus, LCM of Fractions is 544142/7.Finally, LCM of Fractions for 73/756, 7454/5593 is 544142/7.