Least Common Multiple of 18, 26, 585
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, 26, 585 i.e. 1170 smallest integer divisible by all numbers.
Least common multiple (LCM) of 18, 26, 585 is 1170.
LCM(18, 26, 585) = 1170
LCM of 18, 26, 585
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 18, 26, 585 by common division method
- Least Common Multiple of 18, 26, 585 with GCF Formula
Least Common Multiple (LCM) of 18,26,585 is 1170
| 2 | 18, 26, 585 |
| 3 | 9, 13, 585 |
| 3 | 3, 13, 195 |
| 13 | 1, 13, 65 |
| 1, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 1 x 5 = 1170
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 18,26,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,26,585) = 1
common factors(in case of two or more numbers have common factors) = 234
GCF(18,26,585) x common factors =1 x 234 = 234
LCM(18,26,585) = ( 18 × 26 × 585 ) / 234
LCM(18,26,585) = 273780 / 234
LCM(18,26,585) = 1170
∴ Least Common Multiple of 18,26,585 is 1170
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 18, 26, 585
1. What is the LCM of 18, 26, 585?
Answer: LCM of 18, 26, 585 is 1170.
2. What are the Factors of 1170?
Answer: Factors of 1170 are . There are integers that are factors of 1170
3. How to Find the LCM of 18, 26, 585 ?
Least Common Multiple of 18, 26, 585.
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, 26, 585) = 2 x 3 x 3 x 5 x 13 = 1170.