Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/838, 543/216, 773/996 quickly i.e. 13011909/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/838, 543/216, 773/996 is 13011909/2.
LCM(93/838, 543/216, 773/996) = 13011909/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/838,543/216,773/996
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 93,543,773
Least Common Multiple of Numerators i.e. LCM of 93,543,773 is 13011909.
GCF of Denominators means GCF of 838,216,996 as per the given fractions.
GCF of 838,216,996 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,543,773
3 | 93, 543, 773 |
31, 181, 773 |
∴ So the LCM of the given numbers is 3 x 31 x 181 x 773 = 13011909
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 93,543,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,543,773) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,543,773) x common factors =1 x 3 = 3
LCM(93,543,773) = ( 93 × 543 × 773 ) / 3
LCM(93,543,773) = 39035727 / 3
LCM(93,543,773) = 13011909
Lets's calculate GCF of 838,216,996
2 | 838, 216, 996 |
419, 108, 498 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13011909/2
Therefore the LCM of Fractions 93/838,543/216,773/996 is 13011909/2
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 838,216,996 . The biggest common factor number is the GCF number.
So the greatest common factor 838,216,996 is 2.
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 93/838, 543/216, 773/996?
Answer: LCM of Numerators as per given numbers 93/838, 543/216, 773/996 is
LCM of Numerators i.e. for 93,543,773 is 13011909
GCF of denominators i.e. for 838,216,996 is 2.
Thus, LCM of Fractions is 13011909/2.Finally, LCM of Fractions for 93/838, 543/216, 773/996 is 13011909/2.