Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6549/132, 2280/270 quickly i.e. 829540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6549/132, 2280/270 is 829540.
LCM(6549/132, 2280/270) = 829540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6549/132,2280/270
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 6549,2280
Least Common Multiple of Numerators i.e. LCM of 6549,2280 is 4977240.
GCF of Denominators means GCF of 132,270 as per the given fractions.
GCF of 132,270 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6549,2280
3 | 6549, 2280 |
2183, 760 |
∴ So the LCM of the given numbers is 3 x 2183 x 760 = 4977240
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 6549,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6549,2280) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6549,2280) x common factors =3 x 1 = 3
LCM(6549,2280) = ( 6549 × 2280 ) / 3
LCM(6549,2280) = 14931720 / 3
LCM(6549,2280) = 4977240
Lets's calculate GCF of 132,270
2 | 132, 270 |
3 | 66, 135 |
22, 45 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4977240/6
Therefore the LCM of Fractions 6549/132,2280/270 is 829540
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 132,270 . The biggest common factor number is the GCF number.
So the greatest common factor 132,270 is 6.
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 6549/132, 2280/270?
Answer: LCM of Numerators as per given numbers 6549/132, 2280/270 is
LCM of Numerators i.e. for 6549,2280 is 4977240
GCF of denominators i.e. for 132,270 is 6.
Thus, LCM of Fractions is 829540.Finally, LCM of Fractions for 6549/132, 2280/270 is 829540.