Given numbers are 936,857,207,688,460

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

The LCM of 936,857,207,688,460 is 7933283280.

Find LCM of 936,857,207,688,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 13 x 857 x 1 x 86 x 5 = 7933283280

Therefore, the lowest common multiple of 936,857,207,688,460 is 7933283280.

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.

936 x 857 x 207 x 688 x 460 = 52550068446720

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

857 : 1, 857

207 : 1, 3, 9, 23, 69, 207

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,857,207,688,460, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

857:857

207:3x 3x 23

688:2x 2x 2x 2x 43

460:2x 2x 5x 23

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 2x 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 52550068446720/(1x6624)

LCM = 52550068446720/6624

LCM = 7933283280

Thus, we can understand that the LCM of 936,857,207,688,460 is 7933283280.

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

• LCM of 298, 920, 990, 342, 803
• LCM of 207, 768, 615, 571, 861
• LCM of 196, 137, 812, 169, 720
• LCM of 934, 327, 459, 111, 448
• LCM of 907, 443, 653, 510, 550

1. What is the LCM of 936, 857, 207, 688, 460?

Answer: LCM of 936, 857, 207, 688, 460 is 7933283280.

2. How to calculate the LCM of 936, 857, 207, 688, 460?

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 936, 857, 207, 688, 460.

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}.