Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/418, 549/565, 704/197 quickly i.e. 8889408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/418, 549/565, 704/197 is 8889408.
LCM(23/418, 549/565, 704/197) = 8889408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/418,549/565,704/197
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 23,549,704
Least Common Multiple of Numerators i.e. LCM of 23,549,704 is 8889408.
GCF of Denominators means GCF of 418,565,197 as per the given fractions.
GCF of 418,565,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,549,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 8889408
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 23,549,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,549,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,549,704) x common factors =1 x 1 = 1
LCM(23,549,704) = ( 23 × 549 × 704 ) / 1
LCM(23,549,704) = 8889408 / 1
LCM(23,549,704) = 8889408
Lets's calculate GCF of 418,565,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8889408/1
Therefore the LCM of Fractions 23/418,549/565,704/197 is 8889408
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 418,565,197 . The biggest common factor number is the GCF number.
So the greatest common factor 418,565,197 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 23/418, 549/565, 704/197?
Answer: LCM of Numerators as per given numbers 23/418, 549/565, 704/197 is
LCM of Numerators i.e. for 23,549,704 is 8889408
GCF of denominators i.e. for 418,565,197 is 1.
Thus, LCM of Fractions is 8889408.Finally, LCM of Fractions for 23/418, 549/565, 704/197 is 8889408.