Least Common Multiple of 18, 72, 216
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 18, 72, 216 i.e. 216 smallest integer divisible by all numbers.
Least common multiple (LCM) of 18, 72, 216 is 216.
LCM(18, 72, 216) = 216
LCM of 18, 72, 216
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 18, 72, 216 by common division method
- Least Common Multiple of 18, 72, 216 with GCF Formula
Least Common Multiple (LCM) of 18,72,216 is 216
| 2 | 18, 72, 216 |
| 2 | 9, 36, 108 |
| 2 | 9, 18, 54 |
| 3 | 9, 9, 27 |
| 3 | 3, 3, 9 |
| 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 3 = 216
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 18,72,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,72,216) = 18
common factors(in case of two or more numbers have common factors) = 72
GCF(18,72,216) x common factors =18 x 72 = 1296
LCM(18,72,216) = ( 18 × 72 × 216 ) / 1296
LCM(18,72,216) = 279936 / 1296
LCM(18,72,216) = 216
∴ Least Common Multiple of 18,72,216 is 216
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 18, 72, 216
1. What is the LCM of 18, 72, 216?
Answer: LCM of 18, 72, 216 is 216.
2. What are the Factors of 216?
Answer: Factors of 216 are . There are integers that are factors of 216
3. How to Find the LCM of 18, 72, 216 ?
Least Common Multiple of 18, 72, 216.
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(18, 72, 216) = 2 x 2 x 2 x 3 x 3 x 3 = 216.
