Given numbers are 106,272,540,748,633

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

The LCM of 106,272,540,748,633 is 4517037360.

Find LCM of 106,272,540,748,633 with Prime Factorization

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

2 x 2 x 3 x 17 x 53 x 4 x 45 x 11 x 211 = 4517037360

Therefore, the lowest common multiple of 106,272,540,748,633 is 4517037360.

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.

106 x 272 x 540 x 748 x 633 = 7371804971520

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.

106 : 1, 2, 53, 106

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,272,540,748,633, is 1.

Now, the common factors can be found like this.

106:2x 53

272:2x 2x 2x 2x 17

540:2x 2x 3x 3x 3x 5

748:2x 2x 11x 17

633:3x 211

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 17 = 1632

Therefore, the value for common factors is 1632.

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 = 7371804971520/(1x1632)

LCM = 7371804971520/1632

LCM = 4517037360

Thus, we can understand that the LCM of 106,272,540,748,633 is 4517037360.

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

• LCM of 488, 555, 755, 870, 219
• LCM of 649, 559, 325, 877, 114
• LCM of 664, 421, 567, 910, 452
• LCM of 954, 978, 447, 719, 107
• LCM of 861, 766, 422, 264, 780

1. What is the LCM of 106, 272, 540, 748, 633?

Answer: LCM of 106, 272, 540, 748, 633 is 4517037360.

2. How to calculate the LCM of 106, 272, 540, 748, 633?

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 106, 272, 540, 748, 633.

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}.