Given numbers are 857,238,430,924,406

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

The LCM of 857,238,430,924,406 is 83934048660.

Find LCM of 857,238,430,924,406 with Prime Factorization

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

2 x 7 x 857 x 17 x 215 x 66 x 29 = 83934048660

Therefore, the lowest common multiple of 857,238,430,924,406 is 83934048660.

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.

857 x 238 x 430 x 924 x 406 = 32902147074720

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.

857 : 1, 857

238 : 1, 2, 7, 14, 17, 34, 119, 238

430 : 1, 2, 5, 10, 43, 86, 215, 430

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,238,430,924,406, is 1.

Now, the common factors can be found like this.

857:857

238:2x 7x 17

430:2x 5x 43

924:2x 2x 3x 7x 11

406:2x 7x 29

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 32902147074720/(1x392)

LCM = 32902147074720/392

LCM = 83934048660

Thus, we can understand that the LCM of 857,238,430,924,406 is 83934048660.

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

• LCM of 497, 157, 198, 165, 250
• LCM of 961, 434, 227, 955, 936
• LCM of 368, 451, 129, 858, 265
• LCM of 177, 871, 963, 730, 717
• LCM of 976, 429, 747, 245, 405

1. What is the LCM of 857, 238, 430, 924, 406?

Answer: LCM of 857, 238, 430, 924, 406 is 83934048660.

2. How to calculate the LCM of 857, 238, 430, 924, 406?

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 857, 238, 430, 924, 406.

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}.