Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/542, 2199/9270 quickly i.e. 24189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/542, 2199/9270 is 24189.
LCM(66/542, 2199/9270) = 24189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/542,2199/9270
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 66,2199
Least Common Multiple of Numerators i.e. LCM of 66,2199 is 48378.
GCF of Denominators means GCF of 542,9270 as per the given fractions.
GCF of 542,9270 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,2199
3 | 66, 2199 |
22, 733 |
∴ So the LCM of the given numbers is 3 x 22 x 733 = 48378
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 66,2199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,2199) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(66,2199) x common factors =3 x 1 = 3
LCM(66,2199) = ( 66 × 2199 ) / 3
LCM(66,2199) = 145134 / 3
LCM(66,2199) = 48378
Lets's calculate GCF of 542,9270
2 | 542, 9270 |
271, 4635 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48378/2
Therefore the LCM of Fractions 66/542,2199/9270 is 24189
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 9270
List of positive integer factors of 9270 that divides 9270 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 542,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 542,9270 is 2.
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 66/542, 2199/9270?
Answer: LCM of Numerators as per given numbers 66/542, 2199/9270 is
LCM of Numerators i.e. for 66,2199 is 48378
GCF of denominators i.e. for 542,9270 is 2.
Thus, LCM of Fractions is 24189.Finally, LCM of Fractions for 66/542, 2199/9270 is 24189.