Least Common Multiple of 396, 408, 884

Q: How to Find the LCM of 396, 408, 884 ?

Least Common Multiple of 396, 408, 884 = 175032 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(396, 408, 884) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 17 = 175032.

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 396, 408, 884 i.e. 175032 smallest integer divisible by all numbers.

Least common multiple (LCM) of 396, 408, 884 is 175032.

LCM(396, 408, 884) = 175032

LCM of 396, 408, 884

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

Least Common Multiple of 396, 408, 884 by common division method
Least Common Multiple of 396, 408, 884 with GCF Formula

Least Common Multiple of 396,408,884

Least Common Multiple (LCM) of 396,408,884 is 175032

2	396, 408, 884
2	198, 204, 442
3	99, 102, 221
17	33, 34, 221
	33, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 33 x 2 x 13 = 175032

Least Common Multiple of 396,408,884 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 396,408,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,408,884) = 4

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

GCF(396,408,884) x common factors =4 x 204 = 816

LCM(396,408,884) = ( 396 × 408 × 884 ) / 816

LCM(396,408,884) = 142826112 / 816

LCM(396,408,884) = 175032

∴ Least Common Multiple of 396,408,884 is 175032

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 396, 408, 884

1. What is the LCM of 396, 408, 884?

Answer: LCM of 396, 408, 884 is 175032.

2. What are the Factors of 175032?

Answer: Factors of 175032 are . There are integers that are factors of 175032

3. How to Find the LCM of 396, 408, 884 ?

Least Common Multiple of 396, 408, 884.

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(396, 408, 884) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 17 = 175032.