Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3549/183, 6520/3573 quickly i.e. 7713160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3549/183, 6520/3573 is 7713160.
LCM(3549/183, 6520/3573) = 7713160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3549/183,6520/3573
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 3549,6520
Least Common Multiple of Numerators i.e. LCM of 3549,6520 is 23139480.
GCF of Denominators means GCF of 183,3573 as per the given fractions.
GCF of 183,3573 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3549,6520
Given numbers has no common factors except 1. So, there LCM is their product i.e 23139480
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 3549,6520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3549,6520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3549,6520) x common factors =1 x 1 = 1
LCM(3549,6520) = ( 3549 × 6520 ) / 1
LCM(3549,6520) = 23139480 / 1
LCM(3549,6520) = 23139480
Lets's calculate GCF of 183,3573
3 | 183, 3573 |
61, 1191 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23139480/3
Therefore the LCM of Fractions 3549/183,6520/3573 is 7713160
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 3573
List of positive integer factors of 3573 that divides 3573 without a remainder.
1,3,9,397,1191,3573
Greatest Common Factor
We found the factors 183,3573 . The biggest common factor number is the GCF number.
So the greatest common factor 183,3573 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 3549/183, 6520/3573?
Answer: LCM of Numerators as per given numbers 3549/183, 6520/3573 is
LCM of Numerators i.e. for 3549,6520 is 23139480
GCF of denominators i.e. for 183,3573 is 3.
Thus, LCM of Fractions is 7713160.Finally, LCM of Fractions for 3549/183, 6520/3573 is 7713160.