Given numbers are 128,312,874,701,368

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

The LCM of 128,312,874,701,368 is 1529234304.

Find LCM of 128,312,874,701,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 8 x 39 x 19 x 701 x 1 = 1529234304

Therefore, the lowest common multiple of 128,312,874,701,368 is 1529234304.

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.

128 x 312 x 874 x 701 x 368 = 9004131581952

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

874 : 1, 2, 19, 23, 38, 46, 437, 874

701 : 1, 701

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,312,874,701,368, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

312:2x 2x 2x 3x 13

874:2x 19x 23

701:701

368:2x 2x 2x 2x 23

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 2x 2x 23 = 5888

Therefore, the value for common factors is 5888.

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 = 9004131581952/(1x5888)

LCM = 9004131581952/5888

LCM = 1529234304

Thus, we can understand that the LCM of 128,312,874,701,368 is 1529234304.

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

• LCM of 155, 940, 721, 464, 688
• LCM of 219, 621, 670, 819, 522
• LCM of 248, 663, 286, 315, 152
• LCM of 549, 332, 204, 613, 528
• LCM of 487, 392, 691, 584, 129

1. What is the LCM of 128, 312, 874, 701, 368?

Answer: LCM of 128, 312, 874, 701, 368 is 1529234304.

2. How to calculate the LCM of 128, 312, 874, 701, 368?

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 128, 312, 874, 701, 368.

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}.