Least Common Multiple of 414, 243, 504

Q: How to Find the LCM of 414, 243, 504 ?

Least Common Multiple of 414, 243, 504 = 312984 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(414, 243, 504) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 23 = 312984.

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 414, 243, 504 i.e. 312984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 414, 243, 504 is 312984.

LCM(414, 243, 504) = 312984

LCM of 414, 243, 504

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

Least Common Multiple of 414, 243, 504 by common division method
Least Common Multiple of 414, 243, 504 with GCF Formula

Least Common Multiple of 414,243,504

Least Common Multiple (LCM) of 414,243,504 is 312984

2	414, 243, 504
3	207, 243, 252
3	69, 81, 84
	23, 27, 28

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 27 x 28 = 312984

Least Common Multiple of 414,243,504 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 414,243,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,243,504) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(414,243,504) x common factors =9 x 18 = 162

LCM(414,243,504) = ( 414 × 243 × 504 ) / 162

LCM(414,243,504) = 50703408 / 162

LCM(414,243,504) = 312984

∴ Least Common Multiple of 414,243,504 is 312984

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 414, 243, 504

1. What is the LCM of 414, 243, 504?

Answer: LCM of 414, 243, 504 is 312984.

2. What are the Factors of 312984?

Answer: Factors of 312984 are . There are integers that are factors of 312984

3. How to Find the LCM of 414, 243, 504 ?

Least Common Multiple of 414, 243, 504.

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(414, 243, 504) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 23 = 312984.