Given numbers are 750,205,314,879,780

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

The LCM of 750,205,314,879,780 is 36777799500.

Find LCM of 750,205,314,879,780 with Prime Factorization

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

2 x 3 x 5 x 25 x 41 x 157 x 293 x 26 = 36777799500

Therefore, the lowest common multiple of 750,205,314,879,780 is 36777799500.

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.

750 x 205 x 314 x 879 x 780 = 33100019550000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

205 : 1, 5, 41, 205

314 : 1, 2, 157, 314

879 : 1, 3, 293, 879

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,205,314,879,780, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

205:5x 41

314:2x 157

879:3x 293

780:2x 2x 3x 5x 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 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 33100019550000/(1x900)

LCM = 33100019550000/900

LCM = 36777799500

Thus, we can understand that the LCM of 750,205,314,879,780 is 36777799500.

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

• LCM of 260, 858, 168, 211, 195
• LCM of 652, 435, 766, 287, 825
• LCM of 313, 610, 775, 462, 332
• LCM of 141, 814, 929, 183, 810
• LCM of 854, 517, 733, 465, 228

1. What is the LCM of 750, 205, 314, 879, 780?

Answer: LCM of 750, 205, 314, 879, 780 is 36777799500.

2. How to calculate the LCM of 750, 205, 314, 879, 780?

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 750, 205, 314, 879, 780.

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}.