Given numbers are 930,718,387,750,784

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

The LCM of 930,718,387,750,784 is 422078454000.

Find LCM of 930,718,387,750,784 with Prime Factorization

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

2 x 3 x 5 x 31 x 359 x 129 x 25 x 392 = 422078454000

Therefore, the lowest common multiple of 930,718,387,750,784 is 422078454000.

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.

930 x 718 x 387 x 750 x 784 = 151948243440000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

718 : 1, 2, 359, 718

387 : 1, 3, 9, 43, 129, 387

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,718,387,750,784, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

718:2x 359

387:3x 3x 43

750:2x 3x 5x 5x 5

784:2x 2x 2x 2x 7x 7

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 = 151948243440000/(1x360)

LCM = 151948243440000/360

LCM = 422078454000

Thus, we can understand that the LCM of 930,718,387,750,784 is 422078454000.

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

• LCM of 417, 875, 301, 577, 248
• LCM of 326, 143, 136, 391, 253
• LCM of 230, 801, 215, 742, 116
• LCM of 138, 964, 970, 752, 838
• LCM of 345, 804, 938, 261, 603

1. What is the LCM of 930, 718, 387, 750, 784?

Answer: LCM of 930, 718, 387, 750, 784 is 422078454000.

2. How to calculate the LCM of 930, 718, 387, 750, 784?

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 930, 718, 387, 750, 784.

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}.