Given numbers are 460,140,828,226,397

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

The LCM of 460,140,828,226,397 is 1300071780.

Find LCM of 460,140,828,226,397 with Prime Factorization

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

2 x 2 x 5 x 23 x 1 x 7 x 9 x 113 x 397 = 1300071780

Therefore, the lowest common multiple of 460,140,828,226,397 is 1300071780.

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.

460 x 140 x 828 x 226 x 397 = 4784264150400

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.

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

226 : 1, 2, 113, 226

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,140,828,226,397, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

140:2x 2x 5x 7

828:2x 2x 3x 3x 23

226:2x 113

397:397

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 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 4784264150400/(1x3680)

LCM = 4784264150400/3680

LCM = 1300071780

Thus, we can understand that the LCM of 460,140,828,226,397 is 1300071780.

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

• LCM of 628, 410, 219, 615, 126
• LCM of 422, 359, 359, 108, 344
• LCM of 722, 538, 624, 413, 878
• LCM of 517, 769, 562, 373, 464
• LCM of 567, 745, 614, 730, 635

1. What is the LCM of 460, 140, 828, 226, 397?

Answer: LCM of 460, 140, 828, 226, 397 is 1300071780.

2. How to calculate the LCM of 460, 140, 828, 226, 397?

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 460, 140, 828, 226, 397.

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}.