Least Common Multiple of 546, 456, 585

Q: How to Find the LCM of 546, 456, 585 ?

Least Common Multiple of 546, 456, 585 = 622440 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(546, 456, 585) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 = 622440.

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 546, 456, 585 i.e. 622440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 456, 585 is 622440.

LCM(546, 456, 585) = 622440

LCM of 546, 456, 585

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

Least Common Multiple of 546, 456, 585 by common division method
Least Common Multiple of 546, 456, 585 with GCF Formula

Least Common Multiple of 546,456,585

Least Common Multiple (LCM) of 546,456,585 is 622440

2	546, 456, 585
3	273, 228, 585
13	91, 76, 195
	7, 76, 15

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 76 x 15 = 622440

Least Common Multiple of 546,456,585 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 546,456,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,456,585) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(546,456,585) x common factors =3 x 78 = 234

LCM(546,456,585) = ( 546 × 456 × 585 ) / 234

LCM(546,456,585) = 145650960 / 234

LCM(546,456,585) = 622440

∴ Least Common Multiple of 546,456,585 is 622440

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 546, 456, 585

1. What is the LCM of 546, 456, 585?

Answer: LCM of 546, 456, 585 is 622440.

2. What are the Factors of 622440?

Answer: Factors of 622440 are . There are integers that are factors of 622440

3. How to Find the LCM of 546, 456, 585 ?

Least Common Multiple of 546, 456, 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(546, 456, 585) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 = 622440.