Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/49, 65/73, 76/40, 36/331 quickly i.e. 44460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/49, 65/73, 76/40, 36/331 is 44460.
LCM(15/49, 65/73, 76/40, 36/331) = 44460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/49,65/73,76/40,36/331
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 15,65,76,36
Least Common Multiple of Numerators i.e. LCM of 15,65,76,36 is 44460.
GCF of Denominators means GCF of 49,73,40,331 as per the given fractions.
GCF of 49,73,40,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,65,76,36
2 | 15, 65, 76, 36 |
2 | 15, 65, 38, 18 |
3 | 15, 65, 19, 9 |
5 | 5, 65, 19, 3 |
1, 13, 19, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 13 x 19 x 3 = 44460
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 15,65,76,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,65,76,36) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(15,65,76,36) x common factors =1 x 60 = 60
LCM(15,65,76,36) = ( 15 × 65 × 76 × 36 ) / 60
LCM(15,65,76,36) = 2667600 / 60
LCM(15,65,76,36) = 44460
Lets's calculate GCF of 49,73,40,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44460/1
Therefore the LCM of Fractions 15/49,65/73,76/40,36/331 is 44460
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 49,73,40,331 . The biggest common factor number is the GCF number.
So the greatest common factor 49,73,40,331 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 15/49, 65/73, 76/40, 36/331?
Answer: LCM of Numerators as per given numbers 15/49, 65/73, 76/40, 36/331 is
LCM of Numerators i.e. for 15,65,76,36 is 44460
GCF of denominators i.e. for 49,73,40,331 is 1.
Thus, LCM of Fractions is 44460.Finally, LCM of Fractions for 15/49, 65/73, 76/40, 36/331 is 44460.