Least Common Multiple of 306, 216, 120

Q: How to Find the LCM of 306, 216, 120 ?

Least Common Multiple of 306, 216, 120 = 18360 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(306, 216, 120) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 = 18360.

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 306, 216, 120 i.e. 18360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 306, 216, 120 is 18360.

LCM(306, 216, 120) = 18360

LCM of 306, 216, 120

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

Least Common Multiple of 306, 216, 120 by common division method
Least Common Multiple of 306, 216, 120 with GCF Formula

Least Common Multiple of 306,216,120

Least Common Multiple (LCM) of 306,216,120 is 18360

2	306, 216, 120
2	153, 108, 60
2	153, 54, 30
3	153, 27, 15
3	51, 9, 5
	17, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 17 x 3 x 5 = 18360

Least Common Multiple of 306,216,120 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 306,216,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,216,120) = 6

common factors(in case of two or more numbers have common factors) = 72

GCF(306,216,120) x common factors =6 x 72 = 432

LCM(306,216,120) = ( 306 × 216 × 120 ) / 432

LCM(306,216,120) = 7931520 / 432

LCM(306,216,120) = 18360

∴ Least Common Multiple of 306,216,120 is 18360

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 306, 216, 120

1. What is the LCM of 306, 216, 120?

Answer: LCM of 306, 216, 120 is 18360.

2. What are the Factors of 18360?

Answer: Factors of 18360 are . There are integers that are factors of 18360

3. How to Find the LCM of 306, 216, 120 ?

Least Common Multiple of 306, 216, 120.

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(306, 216, 120) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 = 18360.