Least Common Multiple of 768, 900, 810

Q: How to Find the LCM of 768, 900, 810 ?

Least Common Multiple of 768, 900, 810 = 518400 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(768, 900, 810) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 518400.

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 768, 900, 810 i.e. 518400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 900, 810 is 518400.

LCM(768, 900, 810) = 518400

LCM of 768, 900, 810

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

Least Common Multiple of 768, 900, 810 by common division method
Least Common Multiple of 768, 900, 810 with GCF Formula

Least Common Multiple of 768,900,810

Least Common Multiple (LCM) of 768,900,810 is 518400

2	768, 900, 810
2	384, 450, 405
3	192, 225, 405
3	64, 75, 135
5	64, 25, 45
	64, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 64 x 5 x 9 = 518400

Least Common Multiple of 768,900,810 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 768,900,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,900,810) = 6

common factors(in case of two or more numbers have common factors) = 180

GCF(768,900,810) x common factors =6 x 180 = 1080

LCM(768,900,810) = ( 768 × 900 × 810 ) / 1080

LCM(768,900,810) = 559872000 / 1080

LCM(768,900,810) = 518400

∴ Least Common Multiple of 768,900,810 is 518400

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 768, 900, 810

1. What is the LCM of 768, 900, 810?

Answer: LCM of 768, 900, 810 is 518400.

2. What are the Factors of 518400?

Answer: Factors of 518400 are . There are integers that are factors of 518400

3. How to Find the LCM of 768, 900, 810 ?

Least Common Multiple of 768, 900, 810.

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(768, 900, 810) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 518400.