Least Common Multiple of 814, 385, 512

Q: How to Find the LCM of 814, 385, 512 ?

Least Common Multiple of 814, 385, 512 = 7293440 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(814, 385, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 37 = 7293440.

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 814, 385, 512 i.e. 7293440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 385, 512 is 7293440.

LCM(814, 385, 512) = 7293440

LCM of 814, 385, 512

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

Least Common Multiple of 814, 385, 512 by common division method
Least Common Multiple of 814, 385, 512 with GCF Formula

Least Common Multiple of 814,385,512

Least Common Multiple (LCM) of 814,385,512 is 7293440

2	814, 385, 512
11	407, 385, 256
	37, 35, 256

∴ So the LCM of the given numbers is 2 x 11 x 37 x 35 x 256 = 7293440

Least Common Multiple of 814,385,512 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 814,385,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,385,512) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(814,385,512) x common factors =1 x 22 = 22

LCM(814,385,512) = ( 814 × 385 × 512 ) / 22

LCM(814,385,512) = 160455680 / 22

LCM(814,385,512) = 7293440

∴ Least Common Multiple of 814,385,512 is 7293440

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 814, 385, 512

1. What is the LCM of 814, 385, 512?

Answer: LCM of 814, 385, 512 is 7293440.

2. What are the Factors of 7293440?

Answer: Factors of 7293440 are . There are integers that are factors of 7293440

3. How to Find the LCM of 814, 385, 512 ?

Least Common Multiple of 814, 385, 512.

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(814, 385, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 37 = 7293440.