Least Common Multiple of 23, 816, 204

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 23, 816, 204 i.e. 18768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 816, 204 is 18768.

LCM(23, 816, 204) = 18768

LCM of 23, 816, 204

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

LCM of:

Least Common Multiple of 23,816,204

Least Common Multiple (LCM) of 23,816,204 is 18768

2 23, 816, 204
2 23, 408, 102
3 23, 204, 51
17 23, 68, 17
23, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 23 x 4 x 1 = 18768

Least Common Multiple of 23,816,204 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 23,816,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,816,204) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(23,816,204) x common factors =1 x 204 = 204

LCM(23,816,204) = ( 23 × 816 × 204 ) / 204

LCM(23,816,204) = 3828672 / 204

LCM(23,816,204) = 18768

∴ Least Common Multiple of 23,816,204 is 18768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 23, 816, 204

1. What is the LCM of 23, 816, 204?

Answer: LCM of 23, 816, 204 is 18768.

2. What are the Factors of 18768?

Answer: Factors of 18768 are . There are integers that are factors of 18768

3. How to Find the LCM of 23, 816, 204 ?

Least Common Multiple of 23, 816, 204.

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(23, 816, 204) = 2 x 2 x 2 x 2 x 3 x 17 x 23 = 18768.