Given numbers are 388,195,498,468,168

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

The LCM of 388,195,498,468,168 is 263750760.

Find LCM of 388,195,498,468,168 with Prime Factorization

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

2 x 2 x 3 x 13 x 97 x 5 x 83 x 3 x 14 = 263750760

Therefore, the lowest common multiple of 388,195,498,468,168 is 263750760.

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.

388 x 195 x 498 x 468 x 168 = 2962448536320

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.

388 : 1, 2, 4, 97, 194, 388

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

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

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,195,498,468,168, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

195:3x 5x 13

498:2x 3x 83

468:2x 2x 3x 3x 13

168:2x 2x 2x 3x 7

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 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 2962448536320/(1x11232)

LCM = 2962448536320/11232

LCM = 263750760

Thus, we can understand that the LCM of 388,195,498,468,168 is 263750760.

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

• LCM of 811, 172, 919, 118, 470
• LCM of 305, 138, 868, 361, 483
• LCM of 404, 184, 404, 849, 684
• LCM of 194, 790, 832, 185, 575
• LCM of 183, 317, 896, 386, 540

1. What is the LCM of 388, 195, 498, 468, 168?

Answer: LCM of 388, 195, 498, 468, 168 is 263750760.

2. How to calculate the LCM of 388, 195, 498, 468, 168?

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 388, 195, 498, 468, 168.

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}.