Given numbers are 930,802,900,330,387

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

The LCM of 930,802,900,330,387 is 5291876700.

Find LCM of 930,802,900,330,387 with Prime Factorization

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

2 x 3 x 3 x 5 x 31 x 401 x 10 x 11 x 43 = 5291876700

Therefore, the lowest common multiple of 930,802,900,330,387 is 5291876700.

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 802 x 900 x 330 x 387 = 85728402540000

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

802 : 1, 2, 401, 802

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,802,900,330,387, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

802:2x 401

900:2x 2x 3x 3x 5x 5

330:2x 3x 5x 11

387:3x 3x 43

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 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 85728402540000/(1x16200)

LCM = 85728402540000/16200

LCM = 5291876700

Thus, we can understand that the LCM of 930,802,900,330,387 is 5291876700.

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

• LCM of 718, 797, 917, 342, 191
• LCM of 760, 959, 860, 540, 489
• LCM of 563, 961, 445, 550, 689
• LCM of 690, 854, 139, 882, 362
• LCM of 290, 819, 150, 695, 531

1. What is the LCM of 930, 802, 900, 330, 387?

Answer: LCM of 930, 802, 900, 330, 387 is 5291876700.

2. How to calculate the LCM of 930, 802, 900, 330, 387?

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, 802, 900, 330, 387.

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}.