Given numbers are 348,814,660,737,417

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

The LCM of 348,814,660,737,417 is 6595280340.

Find LCM of 348,814,660,737,417 with Prime Factorization

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

2 x 2 x 3 x 11 x 29 x 37 x 5 x 67 x 139 = 6595280340

Therefore, the lowest common multiple of 348,814,660,737,417 is 6595280340.

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 814 x 660 x 737 x 417 = 57458082322080

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

737 : 1, 11, 67, 737

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,814,660,737,417, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

814:2x 11x 37

660:2x 2x 3x 5x 11

737:11x 67

417:3x 139

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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 57458082322080/(1x8712)

LCM = 57458082322080/8712

LCM = 6595280340

Thus, we can understand that the LCM of 348,814,660,737,417 is 6595280340.

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

• LCM of 982, 682, 794, 724, 521
• LCM of 493, 106, 882, 933, 969
• LCM of 328, 545, 230, 312, 958
• LCM of 562, 423, 893, 902, 522
• LCM of 689, 459, 265, 350, 441

1. What is the LCM of 348, 814, 660, 737, 417?

Answer: LCM of 348, 814, 660, 737, 417 is 6595280340.

2. How to calculate the LCM of 348, 814, 660, 737, 417?

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, 814, 660, 737, 417.

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}.