Given numbers are 704,115,319,423,987

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

The LCM of 704,115,319,423,987 is 6951954240.

Find LCM of 704,115,319,423,987 with Prime Factorization

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

3 x 11 x 47 x 64 x 115 x 29 x 3 x 7 = 6951954240

Therefore, the lowest common multiple of 704,115,319,423,987 is 6951954240.

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.

704 x 115 x 319 x 423 x 987 = 10782481026240

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

115 : 1, 5, 23, 115

319 : 1, 11, 29, 319

423 : 1, 3, 9, 47, 141, 423

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,115,319,423,987, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

115:5x 23

319:11x 29

423:3x 3x 47

987:3x 7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 11x 47 = 1551

Therefore, the value for common factors is 1551.

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 = 10782481026240/(1x1551)

LCM = 10782481026240/1551

LCM = 6951954240

Thus, we can understand that the LCM of 704,115,319,423,987 is 6951954240.

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

• LCM of 239, 147, 646, 816, 446
• LCM of 551, 335, 789, 813, 923
• LCM of 515, 635, 721, 553, 876
• LCM of 276, 671, 785, 139, 850
• LCM of 629, 374, 664, 224, 197

1. What is the LCM of 704, 115, 319, 423, 987?

Answer: LCM of 704, 115, 319, 423, 987 is 6951954240.

2. How to calculate the LCM of 704, 115, 319, 423, 987?

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 704, 115, 319, 423, 987.

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}.