Given numbers are 348,336,652,156,814

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

The LCM of 348,336,652,156,814 is 8403547152.

Find LCM of 348,336,652,156,814 with Prime Factorization

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

2 x 2 x 3 x 29 x 28 x 163 x 13 x 407 = 8403547152

Therefore, the lowest common multiple of 348,336,652,156,814 is 8403547152.

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 336 x 652 x 156 x 814 = 9680886319104

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

652 : 1, 2, 4, 163, 326, 652

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,336,652,156,814, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

336:2x 2x 2x 2x 3x 7

652:2x 2x 163

156:2x 2x 3x 13

814:2x 11x 37

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 9680886319104/(2x576)

LCM = 9680886319104/1152

LCM = 8403547152

Thus, we can understand that the LCM of 348,336,652,156,814 is 8403547152.

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

• LCM of 610, 961, 628, 852, 480
• LCM of 410, 465, 726, 867, 989
• LCM of 813, 782, 185, 794, 857
• LCM of 957, 663, 313, 932, 287
• LCM of 568, 774, 203, 374, 951

1. What is the LCM of 348, 336, 652, 156, 814?

Answer: LCM of 348, 336, 652, 156, 814 is 8403547152.

2. How to calculate the LCM of 348, 336, 652, 156, 814?

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, 336, 652, 156, 814.

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}.