Least Common Multiple of 484, 2304

Q: How to Find the LCM of 484, 2304 ?

Least Common Multiple of 484, 2304 = 278784 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(484, 2304) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 = 278784.

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 484, 2304 i.e. 278784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 484, 2304 is 278784.

LCM(484, 2304) = 278784

LCM of 484, 2304

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

Least Common Multiple of 484, 2304 by common division method
Least Common Multiple of 484, 2304 with GCF Formula

Least Common Multiple of 484,2304

Least Common Multiple (LCM) of 484,2304 is 278784

2	484, 2304
2	242, 1152
	121, 576

∴ So the LCM of the given numbers is 2 x 2 x 121 x 576 = 278784

Least Common Multiple of 484,2304 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 484,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,2304) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(484,2304) x common factors =4 x 1 = 4

LCM(484,2304) = ( 484 × 2304 ) / 4

LCM(484,2304) = 1115136 / 4

LCM(484,2304) = 278784

∴ Least Common Multiple of 484,2304 is 278784

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 484, 2304

1. What is the LCM of 484, 2304?

Answer: LCM of 484, 2304 is 278784.

2. What are the Factors of 278784?

Answer: Factors of 278784 are . There are integers that are factors of 278784

3. How to Find the LCM of 484, 2304 ?

Least Common Multiple of 484, 2304.

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(484, 2304) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 = 278784.