Least Common Multiple of 17, 18, 462

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 17, 18, 462 i.e. 23562 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 18, 462 is 23562.

LCM(17, 18, 462) = 23562

LCM of 17, 18, 462

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 17,18,462

Least Common Multiple (LCM) of 17,18,462 is 23562

2 17, 18, 462
3 17, 9, 231
17, 3, 77

∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 77 = 23562

Least Common Multiple of 17,18,462 with GCF Formula

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 17,18,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,18,462) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(17,18,462) x common factors =1 x 6 = 6

LCM(17,18,462) = ( 17 × 18 × 462 ) / 6

LCM(17,18,462) = 141372 / 6

LCM(17,18,462) = 23562

∴ Least Common Multiple of 17,18,462 is 23562

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 17, 18, 462

1. What is the LCM of 17, 18, 462?

Answer: LCM of 17, 18, 462 is 23562.

2. What are the Factors of 23562?

Answer: Factors of 23562 are . There are integers that are factors of 23562

3. How to Find the LCM of 17, 18, 462 ?

Least Common Multiple of 17, 18, 462.

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(17, 18, 462) = 2 x 3 x 3 x 7 x 11 x 17 = 23562.