Given numbers are 348,862,440,428,108

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

The LCM of 348,862,440,428,108 is 15888228840.

Find LCM of 348,862,440,428,108 with Prime Factorization

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

2 x 2 x 3 x 29 x 431 x 110 x 107 x 9 = 15888228840

Therefore, the lowest common multiple of 348,862,440,428,108 is 15888228840.

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.

348 x 862 x 440 x 428 x 108 = 6101079874560

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

862 : 1, 2, 431, 862

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

428 : 1, 2, 4, 107, 214, 428

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,862,440,428,108, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

862:2x 431

440:2x 2x 2x 5x 11

428:2x 2x 107

108:2x 2x 3x 3x 3

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 3 = 192

Therefore, the value for common factors is 192.

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 = 6101079874560/(2x192)

LCM = 6101079874560/384

LCM = 15888228840

Thus, we can understand that the LCM of 348,862,440,428,108 is 15888228840.

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

• LCM of 100, 751, 103, 724, 295
• LCM of 363, 628, 905, 495, 786
• LCM of 315, 307, 636, 717, 796
• LCM of 866, 594, 537, 541, 607
• LCM of 340, 735, 610, 284, 877

1. What is the LCM of 348, 862, 440, 428, 108?

Answer: LCM of 348, 862, 440, 428, 108 is 15888228840.

2. How to calculate the LCM of 348, 862, 440, 428, 108?

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 348, 862, 440, 428, 108.

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}.