Given numbers are 780,291,470,537,715

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

The LCM of 780,291,470,537,715 is 7001803380.

Find LCM of 780,291,470,537,715 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 97 x 47 x 179 x 11 = 7001803380

Therefore, the lowest common multiple of 780,291,470,537,715 is 7001803380.

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 291 x 470 x 537 x 715 = 40960549773000

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

291 : 1, 3, 97, 291

470 : 1, 2, 5, 10, 47, 94, 235, 470

537 : 1, 3, 179, 537

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,291,470,537,715, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

291:3x 97

470:2x 5x 47

537:3x 179

715:5x 11x 13

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

2x 3x 3x 5x 5x 13 = 5850

Therefore, the value for common factors is 5850.

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 = 40960549773000/(1x5850)

LCM = 40960549773000/5850

LCM = 7001803380

Thus, we can understand that the LCM of 780,291,470,537,715 is 7001803380.

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

• LCM of 292, 724, 776, 439, 897
• LCM of 497, 138, 709, 806, 290
• LCM of 815, 599, 539, 696, 858
• LCM of 125, 464, 759, 938, 356
• LCM of 642, 593, 329, 584, 338

1. What is the LCM of 780, 291, 470, 537, 715?

Answer: LCM of 780, 291, 470, 537, 715 is 7001803380.

2. How to calculate the LCM of 780, 291, 470, 537, 715?

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, 291, 470, 537, 715.

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}.