Least Common Multiple of 171, 396, 504

Q: How to Find the LCM of 171, 396, 504 ?

Least Common Multiple of 171, 396, 504 = 105336 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(171, 396, 504) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 19 = 105336.

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 171, 396, 504 i.e. 105336 smallest integer divisible by all numbers.

Least common multiple (LCM) of 171, 396, 504 is 105336.

LCM(171, 396, 504) = 105336

LCM of 171, 396, 504

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

Least Common Multiple of 171, 396, 504 by common division method
Least Common Multiple of 171, 396, 504 with GCF Formula

Least Common Multiple of 171,396,504

Least Common Multiple (LCM) of 171,396,504 is 105336

2	171, 396, 504
2	171, 198, 252
3	171, 99, 126
3	57, 33, 42
	19, 11, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 11 x 14 = 105336

Least Common Multiple of 171,396,504 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 171,396,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,396,504) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(171,396,504) x common factors =9 x 36 = 324

LCM(171,396,504) = ( 171 × 396 × 504 ) / 324

LCM(171,396,504) = 34128864 / 324

LCM(171,396,504) = 105336

∴ Least Common Multiple of 171,396,504 is 105336

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 171, 396, 504

1. What is the LCM of 171, 396, 504?

Answer: LCM of 171, 396, 504 is 105336.

2. What are the Factors of 105336?

Answer: Factors of 105336 are . There are integers that are factors of 105336

3. How to Find the LCM of 171, 396, 504 ?

Least Common Multiple of 171, 396, 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(171, 396, 504) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 19 = 105336.