Given numbers are 273,330,628,840,230

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

The LCM of 273,330,628,840,230 is 433753320.

Find LCM of 273,330,628,840,230 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 11 x 157 x 2 x 23 = 433753320

Therefore, the lowest common multiple of 273,330,628,840,230 is 433753320.

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.

273 x 330 x 628 x 840 x 230 = 10930583664000

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

628 : 1, 2, 4, 157, 314, 628

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,330,628,840,230, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

330:2x 3x 5x 11

628:2x 2x 157

840:2x 2x 2x 3x 5x 7

230:2x 5x 23

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 3x 3x 5x 5x 7 = 25200

Therefore, the value for common factors is 25200.

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 = 10930583664000/(1x25200)

LCM = 10930583664000/25200

LCM = 433753320

Thus, we can understand that the LCM of 273,330,628,840,230 is 433753320.

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

• LCM of 932, 386, 185, 947, 428
• LCM of 173, 531, 558, 388, 123
• LCM of 123, 676, 227, 207, 142
• LCM of 976, 457, 286, 304, 358
• LCM of 350, 594, 861, 663, 619

1. What is the LCM of 273, 330, 628, 840, 230?

Answer: LCM of 273, 330, 628, 840, 230 is 433753320.

2. How to calculate the LCM of 273, 330, 628, 840, 230?

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 273, 330, 628, 840, 230.

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}.