Given numbers are 987,944,395,106,414

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

The LCM of 987,944,395,106,414 is 1345895071920.

Find LCM of 987,944,395,106,414 with Prime Factorization

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

2 x 3 x 329 x 472 x 395 x 53 x 69 = 1345895071920

Therefore, the lowest common multiple of 987,944,395,106,414 is 1345895071920.

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.

987 x 944 x 395 x 106 x 414 = 16150740863040

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.

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

395 : 1, 5, 79, 395

106 : 1, 2, 53, 106

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,944,395,106,414, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

944:2x 2x 2x 2x 59

395:5x 79

106:2x 53

414:2x 3x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 16150740863040/(1x12)

LCM = 16150740863040/12

LCM = 1345895071920

Thus, we can understand that the LCM of 987,944,395,106,414 is 1345895071920.

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

• LCM of 383, 509, 104, 405, 507
• LCM of 259, 553, 505, 941, 528
• LCM of 702, 574, 367, 238, 611
• LCM of 786, 680, 587, 902, 267
• LCM of 150, 410, 593, 431, 850

1. What is the LCM of 987, 944, 395, 106, 414?

Answer: LCM of 987, 944, 395, 106, 414 is 1345895071920.

2. How to calculate the LCM of 987, 944, 395, 106, 414?

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 987, 944, 395, 106, 414.

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}.