Least Common Multiple of 75, 13, 65, 589

Q: How to Find the LCM of 75, 13, 65, 589 ?

Least Common Multiple of 75, 13, 65, 589 = 574275 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(75, 13, 65, 589) = 3 x 5 x 5 x 13 x 19 x 31 = 574275.

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 75, 13, 65, 589 i.e. 574275 smallest integer divisible by all numbers.

Least common multiple (LCM) of 75, 13, 65, 589 is 574275.

LCM(75, 13, 65, 589) = 574275

LCM of 75, 13, 65, 589

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

Least Common Multiple of 75, 13, 65, 589 by common division method
Least Common Multiple of 75, 13, 65, 589 with GCF Formula

Least Common Multiple of 75,13,65,589

Least Common Multiple (LCM) of 75,13,65,589 is 574275

5	75, 13, 65, 589
13	15, 13, 13, 589
	15, 1, 1, 589

∴ So the LCM of the given numbers is 5 x 13 x 15 x 1 x 1 x 589 = 574275

Least Common Multiple of 75,13,65,589 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 75,13,65,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,13,65,589) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(75,13,65,589) x common factors =1 x 65 = 65

LCM(75,13,65,589) = ( 75 × 13 × 65 × 589 ) / 65

LCM(75,13,65,589) = 37327875 / 65

LCM(75,13,65,589) = 574275

∴ Least Common Multiple of 75,13,65,589 is 574275

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 75, 13, 65, 589

1. What is the LCM of 75, 13, 65, 589?

Answer: LCM of 75, 13, 65, 589 is 574275.

2. What are the Factors of 574275?

Answer: Factors of 574275 are . There are integers that are factors of 574275

3. How to Find the LCM of 75, 13, 65, 589 ?

Least Common Multiple of 75, 13, 65, 589.

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(75, 13, 65, 589) = 3 x 5 x 5 x 13 x 19 x 31 = 574275.