Given numbers are 522,663,498,120,133

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

The LCM of 522,663,498,120,133 is 25469622360.

Find LCM of 522,663,498,120,133 with Prime Factorization

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

2 x 3 x 87 x 221 x 83 x 20 x 133 = 25469622360

Therefore, the lowest common multiple of 522,663,498,120,133 is 25469622360.

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.

522 x 663 x 498 x 120 x 133 = 2750719214880

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

663 : 1, 3, 13, 17, 39, 51, 221, 663

498 : 1, 2, 3, 6, 83, 166, 249, 498

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,663,498,120,133, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

663:3x 13x 17

498:2x 3x 83

120:2x 2x 2x 3x 5

133:7x 19

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 2750719214880/(1x108)

LCM = 2750719214880/108

LCM = 25469622360

Thus, we can understand that the LCM of 522,663,498,120,133 is 25469622360.

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

• LCM of 187, 277, 149, 570, 530
• LCM of 318, 723, 242, 159, 236
• LCM of 960, 423, 555, 471, 224
• LCM of 727, 787, 255, 733, 742
• LCM of 694, 432, 430, 978, 785

1. What is the LCM of 522, 663, 498, 120, 133?

Answer: LCM of 522, 663, 498, 120, 133 is 25469622360.

2. How to calculate the LCM of 522, 663, 498, 120, 133?

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 522, 663, 498, 120, 133.

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}.