Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/81, 37/27, 65/48, 21/753 quickly i.e. 117845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/81, 37/27, 65/48, 21/753 is 117845.
LCM(49/81, 37/27, 65/48, 21/753) = 117845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/81,37/27,65/48,21/753
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 49,37,65,21
Least Common Multiple of Numerators i.e. LCM of 49,37,65,21 is 353535.
GCF of Denominators means GCF of 81,27,48,753 as per the given fractions.
GCF of 81,27,48,753 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,37,65,21
7 | 49, 37, 65, 21 |
7, 37, 65, 3 |
∴ So the LCM of the given numbers is 7 x 7 x 37 x 65 x 3 = 353535
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 49,37,65,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,37,65,21) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,37,65,21) x common factors =1 x 7 = 7
LCM(49,37,65,21) = ( 49 × 37 × 65 × 21 ) / 7
LCM(49,37,65,21) = 2474745 / 7
LCM(49,37,65,21) = 353535
Lets's calculate GCF of 81,27,48,753
3 | 81, 27, 48, 753 |
27, 9, 16, 251 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353535/3
Therefore the LCM of Fractions 49/81,37/27,65/48,21/753 is 117845
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 81,27,48,753 . The biggest common factor number is the GCF number.
So the greatest common factor 81,27,48,753 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 49/81, 37/27, 65/48, 21/753?
Answer: LCM of Numerators as per given numbers 49/81, 37/27, 65/48, 21/753 is
LCM of Numerators i.e. for 49,37,65,21 is 353535
GCF of denominators i.e. for 81,27,48,753 is 3.
Thus, LCM of Fractions is 117845.Finally, LCM of Fractions for 49/81, 37/27, 65/48, 21/753 is 117845.