Least Common Multiple of 864, 331, 993

Q: How to Find the LCM of 864, 331, 993 ?

Least Common Multiple of 864, 331, 993 = 285984 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(864, 331, 993) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 331 = 285984.

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 864, 331, 993 i.e. 285984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 864, 331, 993 is 285984.

LCM(864, 331, 993) = 285984

LCM of 864, 331, 993

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

Least Common Multiple of 864, 331, 993 by common division method
Least Common Multiple of 864, 331, 993 with GCF Formula

Least Common Multiple of 864,331,993

Least Common Multiple (LCM) of 864,331,993 is 285984

3	864, 331, 993
331	288, 331, 331
	288, 1, 1

∴ So the LCM of the given numbers is 3 x 331 x 288 x 1 x 1 = 285984

Least Common Multiple of 864,331,993 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 864,331,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,331,993) = 1

common factors(in case of two or more numbers have common factors) = 993

GCF(864,331,993) x common factors =1 x 993 = 993

LCM(864,331,993) = ( 864 × 331 × 993 ) / 993

LCM(864,331,993) = 283982112 / 993

LCM(864,331,993) = 285984

∴ Least Common Multiple of 864,331,993 is 285984

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 864, 331, 993

1. What is the LCM of 864, 331, 993?

Answer: LCM of 864, 331, 993 is 285984.

2. What are the Factors of 285984?

Answer: Factors of 285984 are . There are integers that are factors of 285984

3. How to Find the LCM of 864, 331, 993 ?

Least Common Multiple of 864, 331, 993.

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(864, 331, 993) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 331 = 285984.