Least Common Multiple of 494, 1728

Q: How to Find the LCM of 494, 1728 ?

Least Common Multiple of 494, 1728 = 426816 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, 1728) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 = 426816.

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, 1728 i.e. 426816 smallest integer divisible by all numbers.

Least common multiple (LCM) of 494, 1728 is 426816.

LCM(494, 1728) = 426816

LCM of 494, 1728

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

Least Common Multiple of 494, 1728 by common division method
Least Common Multiple of 494, 1728 with GCF Formula

Least Common Multiple of 494,1728

Least Common Multiple (LCM) of 494,1728 is 426816

2	494, 1728
	247, 864

∴ So the LCM of the given numbers is 2 x 247 x 864 = 426816

Least Common Multiple of 494,1728 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 494,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,1728) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(494,1728) x common factors =2 x 1 = 2

LCM(494,1728) = ( 494 × 1728 ) / 2

LCM(494,1728) = 853632 / 2

LCM(494,1728) = 426816

∴ Least Common Multiple of 494,1728 is 426816

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, 1728

1. What is the LCM of 494, 1728?

Answer: LCM of 494, 1728 is 426816.

2. What are the Factors of 426816?

Answer: Factors of 426816 are . There are integers that are factors of 426816

3. How to Find the LCM of 494, 1728 ?

Least Common Multiple of 494, 1728.

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, 1728) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 = 426816.