Least Common Multiple of 396, 816, 578

Q: How to Find the LCM of 396, 816, 578 ?

Least Common Multiple of 396, 816, 578 = 457776 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, 816, 578) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 17 = 457776.

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, 816, 578 i.e. 457776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 396, 816, 578 is 457776.

LCM(396, 816, 578) = 457776

LCM of 396, 816, 578

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

Least Common Multiple of 396, 816, 578 by common division method
Least Common Multiple of 396, 816, 578 with GCF Formula

Least Common Multiple of 396,816,578

Least Common Multiple (LCM) of 396,816,578 is 457776

2	396, 816, 578
2	198, 408, 289
3	99, 204, 289
17	33, 68, 289
	33, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 33 x 4 x 17 = 457776

Least Common Multiple of 396,816,578 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 396,816,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,816,578) = 2

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

GCF(396,816,578) x common factors =2 x 204 = 408

LCM(396,816,578) = ( 396 × 816 × 578 ) / 408

LCM(396,816,578) = 186772608 / 408

LCM(396,816,578) = 457776

∴ Least Common Multiple of 396,816,578 is 457776

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, 816, 578

1. What is the LCM of 396, 816, 578?

Answer: LCM of 396, 816, 578 is 457776.

2. What are the Factors of 457776?

Answer: Factors of 457776 are . There are integers that are factors of 457776

3. How to Find the LCM of 396, 816, 578 ?

Least Common Multiple of 396, 816, 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(396, 816, 578) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 17 = 457776.