Least Common Multiple of 405, 510, 408

Q: How to Find the LCM of 405, 510, 408 ?

Least Common Multiple of 405, 510, 408 = 55080 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(405, 510, 408) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 = 55080.

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 405, 510, 408 i.e. 55080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 405, 510, 408 is 55080.

LCM(405, 510, 408) = 55080

LCM of 405, 510, 408

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

Least Common Multiple of 405, 510, 408 by common division method
Least Common Multiple of 405, 510, 408 with GCF Formula

Least Common Multiple of 405,510,408

Least Common Multiple (LCM) of 405,510,408 is 55080

2	405, 510, 408
3	405, 255, 204
5	135, 85, 68
17	27, 17, 68
	27, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 27 x 1 x 4 = 55080

Least Common Multiple of 405,510,408 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 405,510,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,510,408) = 3

common factors(in case of two or more numbers have common factors) = 510

GCF(405,510,408) x common factors =3 x 510 = 1530

LCM(405,510,408) = ( 405 × 510 × 408 ) / 1530

LCM(405,510,408) = 84272400 / 1530

LCM(405,510,408) = 55080

∴ Least Common Multiple of 405,510,408 is 55080

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 405, 510, 408

1. What is the LCM of 405, 510, 408?

Answer: LCM of 405, 510, 408 is 55080.

2. What are the Factors of 55080?

Answer: Factors of 55080 are . There are integers that are factors of 55080

3. How to Find the LCM of 405, 510, 408 ?

Least Common Multiple of 405, 510, 408.

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(405, 510, 408) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 = 55080.