# Least Common Multiple of 30, 75, 180

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 30, 75, 180 i.e. 900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 75, 180 is 900.

LCM(30, 75, 180) = 900

## LCM of 30, 75, 180

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

LCM of:

### Least Common Multiple (LCM) of 30,75,180 By Common Division

 2 30, 75, 180 3 15, 75, 90 5 5, 25, 30 1, 5, 6

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 5 x 6 = 900

### Least Common Multiple of 30,75,180 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 30,75,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,75,180) = 15

common factors(in case of two or more numbers have common factors) = 30

GCF(30,75,180) x common factors =15 x 30 = 450

LCM(30,75,180) = ( 30 × 75 × 180 ) / 450

LCM(30,75,180) = 405000 / 450

LCM(30,75,180) = 900

∴ Least Common Multiple of 30,75,180 is 900

### 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 30, 75, 180

1. What is the LCM of 30, 75, 180?

Answer: LCM of 30, 75, 180 is 900.

2. What are the Factors of 900?

Answer: Factors of 900 are . There are integers that are factors of 900

3. How to Find the LCM of 30, 75, 180 ?

Least Common Multiple of 30, 75, 180.

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(30, 75, 180) = 2 x 2 x 3 x 3 x 5 x 5 = 900.