Least Common Multiple of 494, 945, 589

Q: How to Find the LCM of 494, 945, 589 ?

Least Common Multiple of 494, 945, 589 = 14471730 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(494, 945, 589) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 31 = 14471730.

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 494, 945, 589 i.e. 14471730 smallest integer divisible by all numbers.

Least common multiple (LCM) of 494, 945, 589 is 14471730.

LCM(494, 945, 589) = 14471730

LCM of 494, 945, 589

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

Least Common Multiple of 494, 945, 589 by common division method
Least Common Multiple of 494, 945, 589 with GCF Formula

Least Common Multiple of 494,945,589

Least Common Multiple (LCM) of 494,945,589 is 14471730

19	494, 945, 589
	26, 945, 31

∴ So the LCM of the given numbers is 19 x 26 x 945 x 31 = 14471730

Least Common Multiple of 494,945,589 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 494,945,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,945,589) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(494,945,589) x common factors =1 x 19 = 19

LCM(494,945,589) = ( 494 × 945 × 589 ) / 19

LCM(494,945,589) = 274962870 / 19

LCM(494,945,589) = 14471730

∴ Least Common Multiple of 494,945,589 is 14471730

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 494, 945, 589

1. What is the LCM of 494, 945, 589?

Answer: LCM of 494, 945, 589 is 14471730.

2. What are the Factors of 14471730?

Answer: Factors of 14471730 are . There are integers that are factors of 14471730

3. How to Find the LCM of 494, 945, 589 ?

Least Common Multiple of 494, 945, 589.

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(494, 945, 589) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 31 = 14471730.