Least Common Multiple of 408, 450, 578

Q: How to Find the LCM of 408, 450, 578 ?

Least Common Multiple of 408, 450, 578 = 520200 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(408, 450, 578) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 17 = 520200.

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 408, 450, 578 i.e. 520200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 450, 578 is 520200.

LCM(408, 450, 578) = 520200

LCM of 408, 450, 578

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

Least Common Multiple of 408, 450, 578 by common division method
Least Common Multiple of 408, 450, 578 with GCF Formula

Least Common Multiple of 408,450,578

Least Common Multiple (LCM) of 408,450,578 is 520200

2	408, 450, 578
3	204, 225, 289
17	68, 75, 289
	4, 75, 17

∴ So the LCM of the given numbers is 2 x 3 x 17 x 4 x 75 x 17 = 520200

Least Common Multiple of 408,450,578 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 408,450,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,450,578) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(408,450,578) x common factors =2 x 102 = 204

LCM(408,450,578) = ( 408 × 450 × 578 ) / 204

LCM(408,450,578) = 106120800 / 204

LCM(408,450,578) = 520200

∴ Least Common Multiple of 408,450,578 is 520200

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 408, 450, 578

1. What is the LCM of 408, 450, 578?

Answer: LCM of 408, 450, 578 is 520200.

2. What are the Factors of 520200?

Answer: Factors of 520200 are . There are integers that are factors of 520200

3. How to Find the LCM of 408, 450, 578 ?

Least Common Multiple of 408, 450, 578.

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(408, 450, 578) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 17 = 520200.