Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 723/12, 512/68, 663/670 quickly i.e. 40904448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 723/12, 512/68, 663/670 is 40904448.
LCM(723/12, 512/68, 663/670) = 40904448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 723/12,512/68,663/670
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 723,512,663
Least Common Multiple of Numerators i.e. LCM of 723,512,663 is 81808896.
GCF of Denominators means GCF of 12,68,670 as per the given fractions.
GCF of 12,68,670 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 723,512,663
3 | 723, 512, 663 |
241, 512, 221 |
∴ So the LCM of the given numbers is 3 x 241 x 512 x 221 = 81808896
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 723,512,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,512,663) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(723,512,663) x common factors =1 x 3 = 3
LCM(723,512,663) = ( 723 × 512 × 663 ) / 3
LCM(723,512,663) = 245426688 / 3
LCM(723,512,663) = 81808896
Lets's calculate GCF of 12,68,670
2 | 12, 68, 670 |
6, 34, 335 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81808896/2
Therefore the LCM of Fractions 723/12,512/68,663/670 is 40904448
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 12,68,670 . The biggest common factor number is the GCF number.
So the greatest common factor 12,68,670 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 723/12, 512/68, 663/670?
Answer: LCM of Numerators as per given numbers 723/12, 512/68, 663/670 is
LCM of Numerators i.e. for 723,512,663 is 81808896
GCF of denominators i.e. for 12,68,670 is 2.
Thus, LCM of Fractions is 40904448.Finally, LCM of Fractions for 723/12, 512/68, 663/670 is 40904448.