Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 643/66, 146/11, 570/394 quickly i.e. 26755230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 643/66, 146/11, 570/394 is 26755230.
LCM(643/66, 146/11, 570/394) = 26755230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 643/66,146/11,570/394
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 643,146,570
Least Common Multiple of Numerators i.e. LCM of 643,146,570 is 26755230.
GCF of Denominators means GCF of 66,11,394 as per the given fractions.
GCF of 66,11,394 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 643,146,570
2 | 643, 146, 570 |
643, 73, 285 |
∴ So the LCM of the given numbers is 2 x 643 x 73 x 285 = 26755230
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 643,146,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,146,570) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(643,146,570) x common factors =1 x 2 = 2
LCM(643,146,570) = ( 643 × 146 × 570 ) / 2
LCM(643,146,570) = 53510460 / 2
LCM(643,146,570) = 26755230
Lets's calculate GCF of 66,11,394
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26755230/1
Therefore the LCM of Fractions 643/66,146/11,570/394 is 26755230
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Greatest Common Factor
We found the factors 66,11,394 . The biggest common factor number is the GCF number.
So the greatest common factor 66,11,394 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 643/66, 146/11, 570/394?
Answer: LCM of Numerators as per given numbers 643/66, 146/11, 570/394 is
LCM of Numerators i.e. for 643,146,570 is 26755230
GCF of denominators i.e. for 66,11,394 is 1.
Thus, LCM of Fractions is 26755230.Finally, LCM of Fractions for 643/66, 146/11, 570/394 is 26755230.