Given numbers are 271,440,230,720

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 271,440,230,720 is 49365360.

Find LCM of 271,440,230,720 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 271 x 11 x 23 x 18 = 49365360

Therefore, the lowest common multiple of 271,440,230,720 is 49365360.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

271 x 440 x 230 x 720 = 19746144000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

271 : 1, 271

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

230 : 1, 2, 5, 10, 23, 46, 115, 230

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,440,230,720, is 1.

Now, the common factors can be found like this.

271:271

440:2x 2x 2x 5x 11

230:2x 5x 23

720:2x 2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5x 5 = 400

Therefore, the value for common factors is 400.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 19746144000/(1x400)

LCM = 19746144000/400

LCM = 49365360

Thus, we can understand that the LCM of 271,440,230,720 is 49365360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 602, 294, 340, 467
• LCM of 981, 447, 771, 462
• LCM of 991, 358, 432, 221
• LCM of 817, 635, 123, 603
• LCM of 733, 433, 233, 571

1. What is the LCM of 271, 440, 230, 720?

Answer: LCM of 271, 440, 230, 720 is 49365360.

2. How to calculate the LCM of 271, 440, 230, 720?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 271, 440, 230, 720.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.