Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/812, 43/493 quickly i.e. 2322/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/812, 43/493 is 2322/29.
LCM(54/812, 43/493) = 2322/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/812,43/493
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 54,43
Least Common Multiple of Numerators i.e. LCM of 54,43 is 2322.
GCF of Denominators means GCF of 812,493 as per the given fractions.
GCF of 812,493 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 2322
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 54,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,43) x common factors =1 x 1 = 1
LCM(54,43) = ( 54 × 43 ) / 1
LCM(54,43) = 2322 / 1
LCM(54,43) = 2322
Lets's calculate GCF of 812,493
29 | 812, 493 |
28, 17 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322/29
Therefore the LCM of Fractions 54/812,43/493 is 2322/29
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 812,493 . The biggest common factor number is the GCF number.
So the greatest common factor 812,493 is 29.
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 54/812, 43/493?
Answer: LCM of Numerators as per given numbers 54/812, 43/493 is
LCM of Numerators i.e. for 54,43 is 2322
GCF of denominators i.e. for 812,493 is 29.
Thus, LCM of Fractions is 2322/29.Finally, LCM of Fractions for 54/812, 43/493 is 2322/29.