Given numbers are 252,840,617,790,460

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

The LCM of 252,840,617,790,460 is 2825144280.

Find LCM of 252,840,617,790,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 3 x 2 x 617 x 79 x 23 = 2825144280

Therefore, the lowest common multiple of 252,840,617,790,460 is 2825144280.

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.

252 x 840 x 617 x 790 x 460 = 47462423904000

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

617 : 1, 617

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,840,617,790,460, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

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

617:617

790:2x 5x 79

460:2x 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 2x 3x 5x 5x 7 = 16800

Therefore, the value for common factors is 16800.

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 = 47462423904000/(1x16800)

LCM = 47462423904000/16800

LCM = 2825144280

Thus, we can understand that the LCM of 252,840,617,790,460 is 2825144280.

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

• LCM of 584, 717, 851, 763, 341
• LCM of 545, 366, 303, 417, 818
• LCM of 972, 575, 114, 740, 161
• LCM of 771, 454, 258, 285, 394
• LCM of 515, 302, 764, 633, 936

1. What is the LCM of 252, 840, 617, 790, 460?

Answer: LCM of 252, 840, 617, 790, 460 is 2825144280.

2. How to calculate the LCM of 252, 840, 617, 790, 460?

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 252, 840, 617, 790, 460.

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}.