Given numbers are 780,409,321,217,351

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

The LCM of 780,409,321,217,351 is 66665928420.

Find LCM of 780,409,321,217,351 with Prime Factorization

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

3 x 13 x 20 x 409 x 107 x 217 x 9 = 66665928420

Therefore, the lowest common multiple of 780,409,321,217,351 is 66665928420.

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.

780 x 409 x 321 x 217 x 351 = 7799913625140

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.

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

409 : 1, 409

321 : 1, 3, 107, 321

217 : 1, 7, 31, 217

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,409,321,217,351, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

409:409

321:3x 107

217:7x 31

351:3x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 7799913625140/(1x117)

LCM = 7799913625140/117

LCM = 66665928420

Thus, we can understand that the LCM of 780,409,321,217,351 is 66665928420.

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

• LCM of 574, 300, 468, 716, 756
• LCM of 191, 808, 257, 118, 636
• LCM of 167, 337, 962, 420, 831
• LCM of 625, 552, 564, 305, 243
• LCM of 474, 375, 656, 441, 946

1. What is the LCM of 780, 409, 321, 217, 351?

Answer: LCM of 780, 409, 321, 217, 351 is 66665928420.

2. How to calculate the LCM of 780, 409, 321, 217, 351?

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 780, 409, 321, 217, 351.

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}.