Least Common Multiple of 342, 480, 585

Q: How to Find the LCM of 342, 480, 585 ?

Least Common Multiple of 342, 480, 585 = 355680 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(342, 480, 585) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 = 355680.

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 342, 480, 585 i.e. 355680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 480, 585 is 355680.

LCM(342, 480, 585) = 355680

LCM of 342, 480, 585

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

Least Common Multiple of 342, 480, 585 by common division method
Least Common Multiple of 342, 480, 585 with GCF Formula

Least Common Multiple of 342,480,585

Least Common Multiple (LCM) of 342,480,585 is 355680

2	342, 480, 585
3	171, 240, 585
3	57, 80, 195
5	19, 80, 65
	19, 16, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 19 x 16 x 13 = 355680

Least Common Multiple of 342,480,585 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 342,480,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,480,585) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(342,480,585) x common factors =3 x 90 = 270

LCM(342,480,585) = ( 342 × 480 × 585 ) / 270

LCM(342,480,585) = 96033600 / 270

LCM(342,480,585) = 355680

∴ Least Common Multiple of 342,480,585 is 355680

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 342, 480, 585

1. What is the LCM of 342, 480, 585?

Answer: LCM of 342, 480, 585 is 355680.

2. What are the Factors of 355680?

Answer: Factors of 355680 are . There are integers that are factors of 355680

3. How to Find the LCM of 342, 480, 585 ?

Least Common Multiple of 342, 480, 585.

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(342, 480, 585) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 = 355680.