Given numbers are 106,320,358,260,596

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

The LCM of 106,320,358,260,596 is 5880422080.

Find LCM of 106,320,358,260,596 with Prime Factorization

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

2 x 2 x 5 x 53 x 16 x 179 x 13 x 149 = 5880422080

Therefore, the lowest common multiple of 106,320,358,260,596 is 5880422080.

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.

106 x 320 x 358 x 260 x 596 = 1881735065600

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.

106 : 1, 2, 53, 106

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

358 : 1, 2, 179, 358

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,320,358,260,596, is 2.

Now, the common factors can be found like this.

106:2x 53

320:2x 2x 2x 2x 2x 2x 5

358:2x 179

260:2x 2x 5x 13

596:2x 2x 149

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 = 1881735065600/(2x160)

LCM = 1881735065600/320

LCM = 5880422080

Thus, we can understand that the LCM of 106,320,358,260,596 is 5880422080.

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

• LCM of 183, 645, 255, 918, 448
• LCM of 546, 681, 831, 133, 601
• LCM of 758, 790, 199, 901, 675
• LCM of 995, 763, 517, 642, 114
• LCM of 787, 747, 140, 997, 945

1. What is the LCM of 106, 320, 358, 260, 596?

Answer: LCM of 106, 320, 358, 260, 596 is 5880422080.

2. How to calculate the LCM of 106, 320, 358, 260, 596?

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 106, 320, 358, 260, 596.

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}.