Given numbers are 422,460,125,648,632

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

The LCM of 422,460,125,648,632 is 31054347000.

Find LCM of 422,460,125,648,632 with Prime Factorization

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

2 x 2 x 2 x 5 x 211 x 23 x 25 x 81 x 79 = 31054347000

Therefore, the lowest common multiple of 422,460,125,648,632 is 31054347000.

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.

422 x 460 x 125 x 648 x 632 = 9937391040000

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.

422 : 1, 2, 211, 422

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

125 : 1, 5, 25, 125

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,460,125,648,632, is 1.

Now, the common factors can be found like this.

422:2x 211

460:2x 2x 5x 23

125:5x 5x 5

648:2x 2x 2x 3x 3x 3x 3

632:2x 2x 2x 79

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 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 9937391040000/(1x320)

LCM = 9937391040000/320

LCM = 31054347000

Thus, we can understand that the LCM of 422,460,125,648,632 is 31054347000.

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

• LCM of 509, 677, 219, 444, 613
• LCM of 748, 925, 120, 838, 650
• LCM of 108, 360, 970, 455, 138
• LCM of 407, 444, 819, 426, 795
• LCM of 861, 878, 344, 198, 875

1. What is the LCM of 422, 460, 125, 648, 632?

Answer: LCM of 422, 460, 125, 648, 632 is 31054347000.

2. How to calculate the LCM of 422, 460, 125, 648, 632?

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 422, 460, 125, 648, 632.

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}.