Given numbers are 638,122,184,284,107

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

The LCM of 638,122,184,284,107 is 27200724232.

Find LCM of 638,122,184,284,107 with Prime Factorization

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

2 x 2 x 319 x 61 x 46 x 71 x 107 = 27200724232

Therefore, the lowest common multiple of 638,122,184,284,107 is 27200724232.

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.

638 x 122 x 184 x 284 x 107 = 435211587712

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

122 : 1, 2, 61, 122

184 : 1, 2, 4, 8, 23, 46, 92, 184

284 : 1, 2, 4, 71, 142, 284

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,122,184,284,107, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

122:2x 61

184:2x 2x 2x 23

284:2x 2x 71

107:107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 435211587712/(1x16)

LCM = 435211587712/16

LCM = 27200724232

Thus, we can understand that the LCM of 638,122,184,284,107 is 27200724232.

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

• LCM of 160, 462, 217, 454, 278
• LCM of 940, 647, 981, 513, 512
• LCM of 474, 419, 693, 520, 360
• LCM of 675, 628, 386, 994, 845
• LCM of 536, 822, 808, 653, 464

1. What is the LCM of 638, 122, 184, 284, 107?

Answer: LCM of 638, 122, 184, 284, 107 is 27200724232.

2. How to calculate the LCM of 638, 122, 184, 284, 107?

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 638, 122, 184, 284, 107.

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}.