Given numbers are 195,214,411,780,698

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

The LCM of 195,214,411,780,698 is 3990472980.

Find LCM of 195,214,411,780,698 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 107 x 137 x 2 x 349 = 3990472980

Therefore, the lowest common multiple of 195,214,411,780,698 is 3990472980.

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 214 x 411 x 780 x 698 = 9337706773200

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

214 : 1, 2, 107, 214

411 : 1, 3, 137, 411

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

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,214,411,780,698, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

214:2x 107

411:3x 137

780:2x 2x 3x 5x 13

698:2x 349

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 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 9337706773200/(1x2340)

LCM = 9337706773200/2340

LCM = 3990472980

Thus, we can understand that the LCM of 195,214,411,780,698 is 3990472980.

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

• LCM of 423, 140, 959, 247, 711
• LCM of 468, 602, 312, 744, 917
• LCM of 769, 164, 489, 696, 300
• LCM of 191, 811, 983, 532, 950
• LCM of 667, 456, 853, 225, 517

1. What is the LCM of 195, 214, 411, 780, 698?

Answer: LCM of 195, 214, 411, 780, 698 is 3990472980.

2. How to calculate the LCM of 195, 214, 411, 780, 698?

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, 214, 411, 780, 698.

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}.