Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/93, 540/6819 quickly i.e. 52740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/93, 540/6819 is 52740.
LCM(293/93, 540/6819) = 52740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/93,540/6819
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 293,540
Least Common Multiple of Numerators i.e. LCM of 293,540 is 158220.
GCF of Denominators means GCF of 93,6819 as per the given fractions.
GCF of 93,6819 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,540
Given numbers has no common factors except 1. So, there LCM is their product i.e 158220
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 293,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,540) x common factors =1 x 1 = 1
LCM(293,540) = ( 293 × 540 ) / 1
LCM(293,540) = 158220 / 1
LCM(293,540) = 158220
Lets's calculate GCF of 93,6819
3 | 93, 6819 |
31, 2273 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158220/3
Therefore the LCM of Fractions 293/93,540/6819 is 52740
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 6819
List of positive integer factors of 6819 that divides 6819 without a remainder.
1,3,2273,6819
Greatest Common Factor
We found the factors 93,6819 . The biggest common factor number is the GCF number.
So the greatest common factor 93,6819 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 293/93, 540/6819?
Answer: LCM of Numerators as per given numbers 293/93, 540/6819 is
LCM of Numerators i.e. for 293,540 is 158220
GCF of denominators i.e. for 93,6819 is 3.
Thus, LCM of Fractions is 52740.Finally, LCM of Fractions for 293/93, 540/6819 is 52740.