Given numbers are 153,580,928,680,460

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

The LCM of 153,580,928,680,460 is 16328160.

Find LCM of 153,580,928,680,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 29 x 9 x 1 x 4 x 1 x 23 = 16328160

Therefore, the lowest common multiple of 153,580,928,680,460 is 16328160.

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.

153 x 580 x 928 x 680 x 460 = 25759305216000

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.

153 : 1, 3, 9, 17, 51, 153

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 153,580,928,680,460, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

580:2x 2x 5x 29

928:2x 2x 2x 2x 2x 29

680:2x 2x 2x 5x 17

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 2x 2x 5x 5x 17x 29 = 1577600

Therefore, the value for common factors is 1577600.

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 = 25759305216000/(1x1577600)

LCM = 25759305216000/1577600

LCM = 16328160

Thus, we can understand that the LCM of 153,580,928,680,460 is 16328160.

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

• LCM of 666, 392, 619, 297, 877
• LCM of 805, 561, 589, 912, 212
• LCM of 167, 426, 955, 165, 823
• LCM of 138, 541, 811, 917, 670
• LCM of 869, 786, 383, 189, 155

1. What is the LCM of 153, 580, 928, 680, 460?

Answer: LCM of 153, 580, 928, 680, 460 is 16328160.

2. How to calculate the LCM of 153, 580, 928, 680, 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 153, 580, 928, 680, 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}.