Given numbers are 424,460,492,660,819

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

The LCM of 424,460,492,660,819 is 18010432440.

Find LCM of 424,460,492,660,819 with Prime Factorization

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

2 x 2 x 3 x 5 x 106 x 23 x 41 x 11 x 273 = 18010432440

Therefore, the lowest common multiple of 424,460,492,660,819 is 18010432440.

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.

424 x 460 x 492 x 660 x 819 = 51870045427200

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,460,492,660,819, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

460:2x 2x 5x 23

492:2x 2x 3x 41

660:2x 2x 3x 5x 11

819:3x 3x 7x 13

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 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 51870045427200/(1x2880)

LCM = 51870045427200/2880

LCM = 18010432440

Thus, we can understand that the LCM of 424,460,492,660,819 is 18010432440.

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

• LCM of 606, 124, 359, 473, 810
• LCM of 272, 898, 408, 333, 637
• LCM of 355, 716, 138, 198, 622
• LCM of 874, 910, 782, 119, 337
• LCM of 202, 280, 453, 670, 703

1. What is the LCM of 424, 460, 492, 660, 819?

Answer: LCM of 424, 460, 492, 660, 819 is 18010432440.

2. How to calculate the LCM of 424, 460, 492, 660, 819?

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 424, 460, 492, 660, 819.

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}.