Least Common Multiple of 120, 396, 384

Q: How to Find the LCM of 120, 396, 384 ?

Least Common Multiple of 120, 396, 384 = 63360 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(120, 396, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 = 63360.

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 120, 396, 384 i.e. 63360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 396, 384 is 63360.

LCM(120, 396, 384) = 63360

LCM of 120, 396, 384

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

Least Common Multiple of 120, 396, 384 by common division method
Least Common Multiple of 120, 396, 384 with GCF Formula

Least Common Multiple of 120,396,384

Least Common Multiple (LCM) of 120,396,384 is 63360

2	120, 396, 384
2	60, 198, 192
2	30, 99, 96
3	15, 99, 48
	5, 33, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 33 x 16 = 63360

Least Common Multiple of 120,396,384 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 120,396,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,396,384) = 12

common factors(in case of two or more numbers have common factors) = 24

GCF(120,396,384) x common factors =12 x 24 = 288

LCM(120,396,384) = ( 120 × 396 × 384 ) / 288

LCM(120,396,384) = 18247680 / 288

LCM(120,396,384) = 63360

∴ Least Common Multiple of 120,396,384 is 63360

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 120, 396, 384

1. What is the LCM of 120, 396, 384?

Answer: LCM of 120, 396, 384 is 63360.

2. What are the Factors of 63360?

Answer: Factors of 63360 are . There are integers that are factors of 63360

3. How to Find the LCM of 120, 396, 384 ?

Least Common Multiple of 120, 396, 384.

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(120, 396, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 = 63360.