Given numbers are 110,620,614,106,460

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

The LCM of 110,620,614,106,460 is 2552269060.

Find LCM of 110,620,614,106,460 with Prime Factorization

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

2 x 2 x 5 x 11 x 31 x 307 x 53 x 23 = 2552269060

Therefore, the lowest common multiple of 110,620,614,106,460 is 2552269060.

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.

110 x 620 x 614 x 106 x 460 = 2041815248000

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

614 : 1, 2, 307, 614

106 : 1, 2, 53, 106

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,620,614,106,460, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

620:2x 2x 5x 31

614:2x 307

106:2x 53

460:2x 2x 5x 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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 2041815248000/(2x400)

LCM = 2041815248000/800

LCM = 2552269060

Thus, we can understand that the LCM of 110,620,614,106,460 is 2552269060.

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

• LCM of 482, 147, 323, 169, 323
• LCM of 689, 955, 119, 313, 401
• LCM of 927, 384, 744, 751, 420
• LCM of 285, 477, 696, 587, 502
• LCM of 876, 350, 825, 989, 669

1. What is the LCM of 110, 620, 614, 106, 460?

Answer: LCM of 110, 620, 614, 106, 460 is 2552269060.

2. How to calculate the LCM of 110, 620, 614, 106, 460?

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 110, 620, 614, 106, 460.

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}.