Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/53, 993/24, 861/827 quickly i.e. 22799280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/53, 993/24, 861/827 is 22799280.
LCM(240/53, 993/24, 861/827) = 22799280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/53,993/24,861/827
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 240,993,861
Least Common Multiple of Numerators i.e. LCM of 240,993,861 is 22799280.
GCF of Denominators means GCF of 53,24,827 as per the given fractions.
GCF of 53,24,827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,993,861
3 | 240, 993, 861 |
80, 331, 287 |
∴ So the LCM of the given numbers is 3 x 80 x 331 x 287 = 22799280
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 240,993,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,993,861) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(240,993,861) x common factors =3 x 3 = 9
LCM(240,993,861) = ( 240 × 993 × 861 ) / 9
LCM(240,993,861) = 205193520 / 9
LCM(240,993,861) = 22799280
Lets's calculate GCF of 53,24,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22799280/1
Therefore the LCM of Fractions 240/53,993/24,861/827 is 22799280
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 53,24,827 . The biggest common factor number is the GCF number.
So the greatest common factor 53,24,827 is 1.
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 240/53, 993/24, 861/827?
Answer: LCM of Numerators as per given numbers 240/53, 993/24, 861/827 is
LCM of Numerators i.e. for 240,993,861 is 22799280
GCF of denominators i.e. for 53,24,827 is 1.
Thus, LCM of Fractions is 22799280.Finally, LCM of Fractions for 240/53, 993/24, 861/827 is 22799280.