Given numbers are 164,103,460,552,638

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

The LCM of 164,103,460,552,638 is 3718098120.

Find LCM of 164,103,460,552,638 with Prime Factorization

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

2 x 2 x 23 x 41 x 103 x 5 x 6 x 319 = 3718098120

Therefore, the lowest common multiple of 164,103,460,552,638 is 3718098120.

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.

164 x 103 x 460 x 552 x 638 = 2736520216320

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.

164 : 1, 2, 4, 41, 82, 164

103 : 1, 103

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,103,460,552,638, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

103:103

460:2x 2x 5x 23

552:2x 2x 2x 3x 23

638:2x 11x 29

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 23 = 736

Therefore, the value for common factors is 736.

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 = 2736520216320/(1x736)

LCM = 2736520216320/736

LCM = 3718098120

Thus, we can understand that the LCM of 164,103,460,552,638 is 3718098120.

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

• LCM of 380, 194, 321, 614, 471
• LCM of 374, 100, 360, 997, 588
• LCM of 582, 493, 319, 516, 710
• LCM of 500, 925, 578, 197, 196
• LCM of 410, 789, 120, 990, 410

1. What is the LCM of 164, 103, 460, 552, 638?

Answer: LCM of 164, 103, 460, 552, 638 is 3718098120.

2. How to calculate the LCM of 164, 103, 460, 552, 638?

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 164, 103, 460, 552, 638.

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}.