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, 492, 486 i.e. 119556 smallest integer divisible by all numbers.
Least common multiple (LCM) of 729, 492, 486 is 119556.
LCM(729, 492, 486) = 119556
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 729, 492, 486 |
3 | 729, 246, 243 |
3 | 81, 82, 243 |
3 | 27, 82, 81 |
3 | 9, 82, 27 |
3 | 3, 82, 9 |
1, 82, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 3 x 1 x 82 x 3 = 119556
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 729,492,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,492,486) = 3
common factors(in case of two or more numbers have common factors) = 486
GCF(729,492,486) x common factors =3 x 486 = 1458
LCM(729,492,486) = ( 729 × 492 × 486 ) / 1458
LCM(729,492,486) = 174312648 / 1458
LCM(729,492,486) = 119556
∴ Least Common Multiple of 729,492,486 is 119556
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 492, 486?
Answer: LCM of 729, 492, 486 is 119556.
2. What are the Factors of 119556?
Answer: Factors of 119556 are . There are integers that are factors of 119556
3. How to Find the LCM of 729, 492, 486 ?
Least Common Multiple of 729, 492, 486.
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, 492, 486) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 41 = 119556.