Given numbers are 348,936,559,683,728

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

The LCM of 348,936,559,683,728 is 5580344952.

Find LCM of 348,936,559,683,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 29 x 3 x 43 x 683 x 7 = 5580344952

Therefore, the lowest common multiple of 348,936,559,683,728 is 5580344952.

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 936 x 559 x 683 x 728 = 90535516501248

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

559 : 1, 13, 43, 559

683 : 1, 683

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,936,559,683,728, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

936:2x 2x 2x 3x 3x 13

559:13x 43

683:683

728:2x 2x 2x 7x 13

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 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 90535516501248/(1x16224)

LCM = 90535516501248/16224

LCM = 5580344952

Thus, we can understand that the LCM of 348,936,559,683,728 is 5580344952.

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

• LCM of 573, 624, 316, 861, 633
• LCM of 960, 200, 392, 608, 825
• LCM of 825, 442, 301, 326, 213
• LCM of 947, 256, 819, 464, 206
• LCM of 986, 220, 177, 790, 793

1. What is the LCM of 348, 936, 559, 683, 728?

Answer: LCM of 348, 936, 559, 683, 728 is 5580344952.

2. How to calculate the LCM of 348, 936, 559, 683, 728?

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, 936, 559, 683, 728.

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}.