Given numbers are 273,460,764,702,257

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

The LCM of 273,460,764,702,257 is 55479109140.

Find LCM of 273,460,764,702,257 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 115 x 191 x 9 x 257 = 55479109140

Therefore, the lowest common multiple of 273,460,764,702,257 is 55479109140.

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 460 x 764 x 702 x 257 = 17309482051680

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

764 : 1, 2, 4, 191, 382, 764

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,460,764,702,257, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

460:2x 2x 5x 23

764:2x 2x 191

702:2x 3x 3x 3x 13

257:257

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 17309482051680/(1x312)

LCM = 17309482051680/312

LCM = 55479109140

Thus, we can understand that the LCM of 273,460,764,702,257 is 55479109140.

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

• LCM of 784, 558, 141, 181, 462
• LCM of 657, 359, 772, 456, 296
• LCM of 338, 763, 511, 243, 723
• LCM of 308, 350, 195, 416, 839
• LCM of 371, 303, 404, 530, 946

1. What is the LCM of 273, 460, 764, 702, 257?

Answer: LCM of 273, 460, 764, 702, 257 is 55479109140.

2. How to calculate the LCM of 273, 460, 764, 702, 257?

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, 460, 764, 702, 257.

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}.