Given numbers are 229,763,464,600,460

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

The LCM of 229,763,464,600,460 is 139851490800.

Find LCM of 229,763,464,600,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 229 x 763 x 58 x 15 x 23 = 139851490800

Therefore, the lowest common multiple of 229,763,464,600,460 is 139851490800.

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.

229 x 763 x 464 x 600 x 460 = 22376238528000

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.

229 : 1, 229

763 : 1, 7, 109, 763

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 229,763,464,600,460, is 1.

Now, the common factors can be found like this.

229:229

763:7x 109

464:2x 2x 2x 2x 29

600:2x 2x 2x 3x 5x 5

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 5 = 160

Therefore, the value for common factors is 160.

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 = 22376238528000/(1x160)

LCM = 22376238528000/160

LCM = 139851490800

Thus, we can understand that the LCM of 229,763,464,600,460 is 139851490800.

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

• LCM of 822, 848, 308, 374, 399
• LCM of 655, 788, 423, 272, 578
• LCM of 377, 929, 720, 920, 376
• LCM of 784, 802, 262, 309, 855
• LCM of 442, 636, 168, 897, 596

1. What is the LCM of 229, 763, 464, 600, 460?

Answer: LCM of 229, 763, 464, 600, 460 is 139851490800.

2. How to calculate the LCM of 229, 763, 464, 600, 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 229, 763, 464, 600, 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}.