Least Common Multiple of 448, 204, 312

Q: How to Find the LCM of 448, 204, 312 ?

Least Common Multiple of 448, 204, 312 = 297024 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(448, 204, 312) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 = 297024.

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 448, 204, 312 i.e. 297024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 204, 312 is 297024.

LCM(448, 204, 312) = 297024

LCM of 448, 204, 312

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

Least Common Multiple of 448, 204, 312 by common division method
Least Common Multiple of 448, 204, 312 with GCF Formula

Least Common Multiple of 448,204,312

Least Common Multiple (LCM) of 448,204,312 is 297024

2	448, 204, 312
2	224, 102, 156
2	112, 51, 78
3	56, 51, 39
	56, 17, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 56 x 17 x 13 = 297024

Least Common Multiple of 448,204,312 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 448,204,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,204,312) = 4

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

GCF(448,204,312) x common factors =4 x 24 = 96

LCM(448,204,312) = ( 448 × 204 × 312 ) / 96

LCM(448,204,312) = 28514304 / 96

LCM(448,204,312) = 297024

∴ Least Common Multiple of 448,204,312 is 297024

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 448, 204, 312

1. What is the LCM of 448, 204, 312?

Answer: LCM of 448, 204, 312 is 297024.

2. What are the Factors of 297024?

Answer: Factors of 297024 are . There are integers that are factors of 297024

3. How to Find the LCM of 448, 204, 312 ?

Least Common Multiple of 448, 204, 312.

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(448, 204, 312) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 = 297024.