Least Common Multiple of 585, 416, 375

Q: How to Find the LCM of 585, 416, 375 ?

Least Common Multiple of 585, 416, 375 = 468000 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(585, 416, 375) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 = 468000.

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 585, 416, 375 i.e. 468000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 585, 416, 375 is 468000.

LCM(585, 416, 375) = 468000

LCM of 585, 416, 375

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

Least Common Multiple of 585, 416, 375 by common division method
Least Common Multiple of 585, 416, 375 with GCF Formula

Least Common Multiple of 585,416,375

Least Common Multiple (LCM) of 585,416,375 is 468000

3	585, 416, 375
5	195, 416, 125
13	39, 416, 25
	3, 32, 25

∴ So the LCM of the given numbers is 3 x 5 x 13 x 3 x 32 x 25 = 468000

Least Common Multiple of 585,416,375 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 585,416,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,416,375) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(585,416,375) x common factors =1 x 195 = 195

LCM(585,416,375) = ( 585 × 416 × 375 ) / 195

LCM(585,416,375) = 91260000 / 195

LCM(585,416,375) = 468000

∴ Least Common Multiple of 585,416,375 is 468000

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 585, 416, 375

1. What is the LCM of 585, 416, 375?

Answer: LCM of 585, 416, 375 is 468000.

2. What are the Factors of 468000?

Answer: Factors of 468000 are . There are integers that are factors of 468000

3. How to Find the LCM of 585, 416, 375 ?

Least Common Multiple of 585, 416, 375.

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(585, 416, 375) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 = 468000.