Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1728, 1311 i.e. 755136 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1728, 1311 is 755136.
LCM(1728, 1311) = 755136
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 1728, 1311 |
576, 437 |
∴ So the LCM of the given numbers is 3 x 576 x 437 = 755136
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 1728,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1728,1311) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1728,1311) x common factors =3 x 1 = 3
LCM(1728,1311) = ( 1728 × 1311 ) / 3
LCM(1728,1311) = 2265408 / 3
LCM(1728,1311) = 755136
∴ Least Common Multiple of 1728,1311 is 755136
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1728, 1311?
Answer: LCM of 1728, 1311 is 755136.
2. What are the Factors of 755136?
Answer: Factors of 755136 are . There are integers that are factors of 755136
3. How to Find the LCM of 1728, 1311 ?
Least Common Multiple of 1728, 1311.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(1728, 1311) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 23 = 755136.