Least Common Multiple of 510, 605, 816

Q: How to Find the LCM of 510, 605, 816 ?

Least Common Multiple of 510, 605, 816 = 493680 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(510, 605, 816) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 17 = 493680.

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 510, 605, 816 i.e. 493680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 510, 605, 816 is 493680.

LCM(510, 605, 816) = 493680

LCM of 510, 605, 816

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

Least Common Multiple of 510, 605, 816 by common division method
Least Common Multiple of 510, 605, 816 with GCF Formula

Least Common Multiple of 510,605,816

Least Common Multiple (LCM) of 510,605,816 is 493680

2	510, 605, 816
3	255, 605, 408
5	85, 605, 136
17	17, 121, 136
	1, 121, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 121 x 8 = 493680

Least Common Multiple of 510,605,816 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 510,605,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,605,816) = 1

common factors(in case of two or more numbers have common factors) = 510

GCF(510,605,816) x common factors =1 x 510 = 510

LCM(510,605,816) = ( 510 × 605 × 816 ) / 510

LCM(510,605,816) = 251776800 / 510

LCM(510,605,816) = 493680

∴ Least Common Multiple of 510,605,816 is 493680

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 510, 605, 816

1. What is the LCM of 510, 605, 816?

Answer: LCM of 510, 605, 816 is 493680.

2. What are the Factors of 493680?

Answer: Factors of 493680 are . There are integers that are factors of 493680

3. How to Find the LCM of 510, 605, 816 ?

Least Common Multiple of 510, 605, 816.

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(510, 605, 816) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 17 = 493680.