Given numbers are 460,745,245,411,422

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

The LCM of 460,745,245,411,422 is 291249009660.

Find LCM of 460,745,245,411,422 with Prime Factorization

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

2 x 5 x 46 x 149 x 49 x 411 x 211 = 291249009660

Therefore, the lowest common multiple of 460,745,245,411,422 is 291249009660.

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 745 x 245 x 411 x 422 = 14562450483000

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

745 : 1, 5, 149, 745

245 : 1, 5, 7, 35, 49, 245

411 : 1, 3, 137, 411

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,745,245,411,422, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

745:5x 149

245:5x 7x 7

411:3x 137

422:2x 211

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 14562450483000/(1x50)

LCM = 14562450483000/50

LCM = 291249009660

Thus, we can understand that the LCM of 460,745,245,411,422 is 291249009660.

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

• LCM of 429, 956, 913, 984, 564
• LCM of 341, 205, 196, 328, 954
• LCM of 909, 563, 538, 316, 359
• LCM of 510, 367, 457, 911, 590
• LCM of 468, 903, 848, 361, 153

1. What is the LCM of 460, 745, 245, 411, 422?

Answer: LCM of 460, 745, 245, 411, 422 is 291249009660.

2. How to calculate the LCM of 460, 745, 245, 411, 422?

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, 745, 245, 411, 422.

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}.