Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/72, 65/73, 43/41, 76/462 quickly i.e. 13382460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/72, 65/73, 43/41, 76/462 is 13382460.
LCM(63/72, 65/73, 43/41, 76/462) = 13382460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/72,65/73,43/41,76/462
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 63,65,43,76
Least Common Multiple of Numerators i.e. LCM of 63,65,43,76 is 13382460.
GCF of Denominators means GCF of 72,73,41,462 as per the given fractions.
GCF of 72,73,41,462 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,65,43,76
Given numbers has no common factors except 1. So, there LCM is their product i.e 13382460
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 63,65,43,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,65,43,76) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,65,43,76) x common factors =1 x 1 = 1
LCM(63,65,43,76) = ( 63 × 65 × 43 × 76 ) / 1
LCM(63,65,43,76) = 13382460 / 1
LCM(63,65,43,76) = 13382460
Lets's calculate GCF of 72,73,41,462
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13382460/1
Therefore the LCM of Fractions 63/72,65/73,43/41,76/462 is 13382460
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 72,73,41,462 . The biggest common factor number is the GCF number.
So the greatest common factor 72,73,41,462 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 63/72, 65/73, 43/41, 76/462?
Answer: LCM of Numerators as per given numbers 63/72, 65/73, 43/41, 76/462 is
LCM of Numerators i.e. for 63,65,43,76 is 13382460
GCF of denominators i.e. for 72,73,41,462 is 1.
Thus, LCM of Fractions is 13382460.Finally, LCM of Fractions for 63/72, 65/73, 43/41, 76/462 is 13382460.