Given numbers are 392,847,903,404,460

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

The LCM of 392,847,903,404,460 is 71069025720.

Find LCM of 392,847,903,404,460 with Prime Factorization

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

2 x 2 x 7 x 14 x 121 x 129 x 101 x 115 = 71069025720

Therefore, the lowest common multiple of 392,847,903,404,460 is 71069025720.

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.

392 x 847 x 903 x 404 x 460 = 55718116164480

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.

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

847 : 1, 7, 11, 77, 121, 847

903 : 1, 3, 7, 21, 43, 129, 301, 903

404 : 1, 2, 4, 101, 202, 404

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 392,847,903,404,460, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

847:7x 11x 11

903:3x 7x 43

404:2x 2x 101

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 55718116164480/(1x784)

LCM = 55718116164480/784

LCM = 71069025720

Thus, we can understand that the LCM of 392,847,903,404,460 is 71069025720.

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

• LCM of 209, 129, 626, 322, 472
• LCM of 893, 568, 922, 520, 856
• LCM of 734, 653, 901, 578, 326
• LCM of 233, 310, 222, 983, 926
• LCM of 378, 781, 784, 880, 410

1. What is the LCM of 392, 847, 903, 404, 460?

Answer: LCM of 392, 847, 903, 404, 460 is 71069025720.

2. How to calculate the LCM of 392, 847, 903, 404, 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 392, 847, 903, 404, 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}.