Given numbers are 195,816,780,386,372

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

The LCM of 195,816,780,386,372 is 317338320.

Find LCM of 195,816,780,386,372 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 68 x 1 x 193 x 31 = 317338320

Therefore, the lowest common multiple of 195,816,780,386,372 is 317338320.

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.

195 x 816 x 780 x 386 x 372 = 17821720051200

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.

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

386 : 1, 2, 193, 386

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,816,780,386,372, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

816:2x 2x 2x 2x 3x 17

780:2x 2x 3x 5x 13

386:2x 193

372:2x 2x 3x 31

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 5x 13 = 56160

Therefore, the value for common factors is 56160.

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 = 17821720051200/(1x56160)

LCM = 17821720051200/56160

LCM = 317338320

Thus, we can understand that the LCM of 195,816,780,386,372 is 317338320.

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

• LCM of 189, 471, 693, 657, 522
• LCM of 699, 895, 702, 137, 712
• LCM of 900, 855, 356, 843, 384
• LCM of 358, 920, 110, 464, 733
• LCM of 369, 425, 132, 489, 561

1. What is the LCM of 195, 816, 780, 386, 372?

Answer: LCM of 195, 816, 780, 386, 372 is 317338320.

2. How to calculate the LCM of 195, 816, 780, 386, 372?

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 195, 816, 780, 386, 372.

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}.