Given numbers are 780,726,230,374

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

The LCM of 780,726,230,374 is 36902580.

Find LCM of 780,726,230,374 with Prime Factorization

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

2 x 3 x 5 x 11 x 26 x 11 x 23 x 17 = 36902580

Therefore, the lowest common multiple of 780,726,230,374 is 36902580.

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 726 x 230 x 374 = 48711405600

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

230 : 1, 2, 5, 10, 23, 46, 115, 230

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,726,230,374, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

726:2x 3x 11x 11

230:2x 5x 23

374:2x 11x 17

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 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 48711405600/(2x660)

LCM = 48711405600/1320

LCM = 36902580

Thus, we can understand that the LCM of 780,726,230,374 is 36902580.

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

• LCM of 261, 408, 155, 535
• LCM of 612, 655, 336, 933
• LCM of 488, 860, 961, 706
• LCM of 989, 663, 439, 793
• LCM of 707, 861, 292, 905

1. What is the LCM of 780, 726, 230, 374?

Answer: LCM of 780, 726, 230, 374 is 36902580.

2. How to calculate the LCM of 780, 726, 230, 374?

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, 726, 230, 374.

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}.