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 729, 6804 i.e. 20412 smallest integer divisible by all numbers.
Least common multiple (LCM) of 729, 6804 is 20412.
LCM(729, 6804) = 20412
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 729, 6804 |
3 | 243, 2268 |
3 | 81, 756 |
3 | 27, 252 |
3 | 9, 84 |
3, 28 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 3 x 3 x 28 = 20412
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 729,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,6804) = 243
common factors(in case of two or more numbers have common factors) = 1
GCF(729,6804) x common factors =243 x 1 = 243
LCM(729,6804) = ( 729 × 6804 ) / 243
LCM(729,6804) = 4960116 / 243
LCM(729,6804) = 20412
∴ Least Common Multiple of 729,6804 is 20412
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 6804?
Answer: LCM of 729, 6804 is 20412.
2. What are the Factors of 20412?
Answer: Factors of 20412 are . There are integers that are factors of 20412
3. How to Find the LCM of 729, 6804 ?
Least Common Multiple of 729, 6804.
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(729, 6804) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 = 20412.