Least Common Multiple of 330, 660, 675

Q: How to Find the LCM of 330, 660, 675 ?

Least Common Multiple of 330, 660, 675 = 29700 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(330, 660, 675) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 = 29700.

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 330, 660, 675 i.e. 29700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 330, 660, 675 is 29700.

LCM(330, 660, 675) = 29700

LCM of 330, 660, 675

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

Least Common Multiple of 330, 660, 675 by common division method
Least Common Multiple of 330, 660, 675 with GCF Formula

Least Common Multiple of 330,660,675

Least Common Multiple (LCM) of 330,660,675 is 29700

2	330, 660, 675
3	165, 330, 675
5	55, 110, 225
11	11, 22, 45
	1, 2, 45

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 2 x 45 = 29700

Least Common Multiple of 330,660,675 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 330,660,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,660,675) = 15

common factors(in case of two or more numbers have common factors) = 330

GCF(330,660,675) x common factors =15 x 330 = 4950

LCM(330,660,675) = ( 330 × 660 × 675 ) / 4950

LCM(330,660,675) = 147015000 / 4950

LCM(330,660,675) = 29700

∴ Least Common Multiple of 330,660,675 is 29700

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 330, 660, 675

1. What is the LCM of 330, 660, 675?

Answer: LCM of 330, 660, 675 is 29700.

2. What are the Factors of 29700?

Answer: Factors of 29700 are . There are integers that are factors of 29700

3. How to Find the LCM of 330, 660, 675 ?

Least Common Multiple of 330, 660, 675.

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(330, 660, 675) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 = 29700.