Given numbers are 933,471,990,183,217

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

The LCM of 933,471,990,183,217 is 639859769010.

Find LCM of 933,471,990,183,217 with Prime Factorization

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

3 x 311 x 157 x 330 x 61 x 217 = 639859769010

Therefore, the lowest common multiple of 933,471,990,183,217 is 639859769010.

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.

933 x 471 x 990 x 183 x 217 = 17276213763270

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.

933 : 1, 3, 311, 933

471 : 1, 3, 157, 471

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

183 : 1, 3, 61, 183

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,471,990,183,217, is 1.

Now, the common factors can be found like this.

933:3x 311

471:3x 157

990:2x 3x 3x 5x 11

183:3x 61

217:7x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 17276213763270/(1x27)

LCM = 17276213763270/27

LCM = 639859769010

Thus, we can understand that the LCM of 933,471,990,183,217 is 639859769010.

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

• LCM of 431, 661, 379, 979, 645
• LCM of 277, 965, 331, 762, 334
• LCM of 248, 880, 819, 941, 322
• LCM of 425, 814, 500, 989, 222
• LCM of 577, 726, 283, 603, 400

1. What is the LCM of 933, 471, 990, 183, 217?

Answer: LCM of 933, 471, 990, 183, 217 is 639859769010.

2. How to calculate the LCM of 933, 471, 990, 183, 217?

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 933, 471, 990, 183, 217.

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}.