Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 512/206, 648/197 quickly i.e. 41472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 512/206, 648/197 is 41472.
LCM(512/206, 648/197) = 41472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 512/206,648/197
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 512,648
Least Common Multiple of Numerators i.e. LCM of 512,648 is 41472.
GCF of Denominators means GCF of 206,197 as per the given fractions.
GCF of 206,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 512,648
2 | 512, 648 |
2 | 256, 324 |
2 | 128, 162 |
64, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 81 = 41472
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 512,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,648) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(512,648) x common factors =8 x 1 = 8
LCM(512,648) = ( 512 × 648 ) / 8
LCM(512,648) = 331776 / 8
LCM(512,648) = 41472
Lets's calculate GCF of 206,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41472/1
Therefore the LCM of Fractions 512/206,648/197 is 41472
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
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 206,197 . The biggest common factor number is the GCF number.
So the greatest common factor 206,197 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 512/206, 648/197?
Answer: LCM of Numerators as per given numbers 512/206, 648/197 is
LCM of Numerators i.e. for 512,648 is 41472
GCF of denominators i.e. for 206,197 is 1.
Thus, LCM of Fractions is 41472.Finally, LCM of Fractions for 512/206, 648/197 is 41472.