Given numbers are 464,455,334,101,828

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

The LCM of 464,455,334,101,828 is 737118935280.

Find LCM of 464,455,334,101,828 with Prime Factorization

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

2 x 2 x 116 x 455 x 167 x 101 x 207 = 737118935280

Therefore, the lowest common multiple of 464,455,334,101,828 is 737118935280.

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.

464 x 455 x 334 x 101 x 828 = 5896951482240

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

455 : 1, 5, 7, 13, 35, 65, 91, 455

334 : 1, 2, 167, 334

101 : 1, 101

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,455,334,101,828, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

455:5x 7x 13

334:2x 167

101:101

828:2x 2x 3x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 5896951482240/(1x8)

LCM = 5896951482240/8

LCM = 737118935280

Thus, we can understand that the LCM of 464,455,334,101,828 is 737118935280.

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

• LCM of 384, 616, 101, 707, 811
• LCM of 791, 463, 657, 949, 325
• LCM of 498, 550, 899, 798, 376
• LCM of 479, 345, 111, 445, 990
• LCM of 120, 276, 169, 827, 358

1. What is the LCM of 464, 455, 334, 101, 828?

Answer: LCM of 464, 455, 334, 101, 828 is 737118935280.

2. How to calculate the LCM of 464, 455, 334, 101, 828?

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 464, 455, 334, 101, 828.

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}.