Given numbers are 780,141,912,750

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

The LCM of 780,141,912,750 is 69654000.

Find LCM of 780,141,912,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 47 x 76 x 25 = 69654000

Therefore, the lowest common multiple of 780,141,912,750 is 69654000.

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 141 x 912 x 750 = 75226320000

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

141 : 1, 3, 47, 141

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,141,912,750, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

141:3x 47

912:2x 2x 2x 2x 3x 19

750:2x 3x 5x 5x 5

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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 75226320000/(3x360)

LCM = 75226320000/1080

LCM = 69654000

Thus, we can understand that the LCM of 780,141,912,750 is 69654000.

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

• LCM of 255, 473, 586, 560
• LCM of 500, 144, 774, 788
• LCM of 903, 287, 539, 122
• LCM of 572, 546, 491, 802
• LCM of 868, 710, 918, 326

1. What is the LCM of 780, 141, 912, 750?

Answer: LCM of 780, 141, 912, 750 is 69654000.

2. How to calculate the LCM of 780, 141, 912, 750?

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, 141, 912, 750.

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}.