Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5520/715, 6653/583 quickly i.e. 36724560/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5520/715, 6653/583 is 36724560/11.
LCM(5520/715, 6653/583) = 36724560/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5520/715,6653/583
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 5520,6653
Least Common Multiple of Numerators i.e. LCM of 5520,6653 is 36724560.
GCF of Denominators means GCF of 715,583 as per the given fractions.
GCF of 715,583 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5520,6653
Given numbers has no common factors except 1. So, there LCM is their product i.e 36724560
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 5520,6653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5520,6653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5520,6653) x common factors =1 x 1 = 1
LCM(5520,6653) = ( 5520 × 6653 ) / 1
LCM(5520,6653) = 36724560 / 1
LCM(5520,6653) = 36724560
Lets's calculate GCF of 715,583
11 | 715, 583 |
65, 53 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36724560/11
Therefore the LCM of Fractions 5520/715,6653/583 is 36724560/11
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 715,583 . The biggest common factor number is the GCF number.
So the greatest common factor 715,583 is 11.
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 5520/715, 6653/583?
Answer: LCM of Numerators as per given numbers 5520/715, 6653/583 is
LCM of Numerators i.e. for 5520,6653 is 36724560
GCF of denominators i.e. for 715,583 is 11.
Thus, LCM of Fractions is 36724560/11.Finally, LCM of Fractions for 5520/715, 6653/583 is 36724560/11.