Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/943, 539/768, 223/545 quickly i.e. 8053199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/943, 539/768, 223/545 is 8053199.
LCM(67/943, 539/768, 223/545) = 8053199
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/943,539/768,223/545
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 67,539,223
Least Common Multiple of Numerators i.e. LCM of 67,539,223 is 8053199.
GCF of Denominators means GCF of 943,768,545 as per the given fractions.
GCF of 943,768,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,539,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 8053199
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 67,539,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,539,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,539,223) x common factors =1 x 1 = 1
LCM(67,539,223) = ( 67 × 539 × 223 ) / 1
LCM(67,539,223) = 8053199 / 1
LCM(67,539,223) = 8053199
Lets's calculate GCF of 943,768,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8053199/1
Therefore the LCM of Fractions 67/943,539/768,223/545 is 8053199
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 943,768,545 . The biggest common factor number is the GCF number.
So the greatest common factor 943,768,545 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 67/943, 539/768, 223/545?
Answer: LCM of Numerators as per given numbers 67/943, 539/768, 223/545 is
LCM of Numerators i.e. for 67,539,223 is 8053199
GCF of denominators i.e. for 943,768,545 is 1.
Thus, LCM of Fractions is 8053199.Finally, LCM of Fractions for 67/943, 539/768, 223/545 is 8053199.