Least Common Multiple of 184, 216, 405, 564

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 184, 216, 405, 564 i.e. 3502440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 184, 216, 405, 564 is 3502440.

LCM(184, 216, 405, 564) = 3502440

LCM of 184, 216, 405, 564

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

LCM of:

Least Common Multiple of 184,216,405,564

Least Common Multiple (LCM) of 184,216,405,564 is 3502440

2 184, 216, 405, 564
2 92, 108, 405, 282
2 46, 54, 405, 141
3 23, 27, 405, 141
3 23, 9, 135, 47
3 23, 3, 45, 47
23, 1, 15, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 23 x 1 x 15 x 47 = 3502440

Least Common Multiple of 184,216,405,564 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 184,216,405,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,216,405,564) = 1

common factors(in case of two or more numbers have common factors) = 2592

GCF(184,216,405,564) x common factors =1 x 2592 = 2592

LCM(184,216,405,564) = ( 184 × 216 × 405 × 564 ) / 2592

LCM(184,216,405,564) = 9078324480 / 2592

LCM(184,216,405,564) = 3502440

∴ Least Common Multiple of 184,216,405,564 is 3502440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 184, 216, 405, 564

1. What is the LCM of 184, 216, 405, 564?

Answer: LCM of 184, 216, 405, 564 is 3502440.

2. What are the Factors of 3502440?

Answer: Factors of 3502440 are . There are integers that are factors of 3502440

3. How to Find the LCM of 184, 216, 405, 564 ?

Least Common Multiple of 184, 216, 405, 564.

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(184, 216, 405, 564) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 x 47 = 3502440.