Given numbers are 480,195,468,798,537

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

The LCM of 480,195,468,798,537 is 445667040.

Find LCM of 480,195,468,798,537 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 8 x 1 x 3 x 133 x 179 = 445667040

Therefore, the lowest common multiple of 480,195,468,798,537 is 445667040.

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.

480 x 195 x 468 x 798 x 537 = 18771495724800

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

195 : 1, 3, 5, 13, 15, 39, 65, 195

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

537 : 1, 3, 179, 537

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,195,468,798,537, is 3.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

195:3x 5x 13

468:2x 2x 3x 3x 13

798:2x 3x 7x 19

537:3x 179

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 3x 3x 3x 5x 13 = 14040

Therefore, the value for common factors is 14040.

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 = 18771495724800/(3x14040)

LCM = 18771495724800/42120

LCM = 445667040

Thus, we can understand that the LCM of 480,195,468,798,537 is 445667040.

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

• LCM of 564, 527, 383, 434, 557
• LCM of 475, 360, 535, 923, 542
• LCM of 340, 155, 872, 389, 193
• LCM of 882, 819, 379, 835, 608
• LCM of 404, 109, 144, 298, 241

1. What is the LCM of 480, 195, 468, 798, 537?

Answer: LCM of 480, 195, 468, 798, 537 is 445667040.

2. How to calculate the LCM of 480, 195, 468, 798, 537?

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 480, 195, 468, 798, 537.

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}.