Given numbers are 486,390,782,411,716

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

The LCM of 486,390,782,411,716 is 605800987740.

Find LCM of 486,390,782,411,716 with Prime Factorization

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

2 x 3 x 81 x 65 x 391 x 137 x 358 = 605800987740

Therefore, the lowest common multiple of 486,390,782,411,716 is 605800987740.

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.

486 x 390 x 782 x 411 x 716 = 43617671117280

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

782 : 1, 2, 17, 23, 34, 46, 391, 782

411 : 1, 3, 137, 411

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,390,782,411,716, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

390:2x 3x 5x 13

782:2x 17x 23

411:3x 137

716:2x 2x 179

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 43617671117280/(1x72)

LCM = 43617671117280/72

LCM = 605800987740

Thus, we can understand that the LCM of 486,390,782,411,716 is 605800987740.

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

• LCM of 400, 219, 253, 108, 130
• LCM of 324, 233, 650, 605, 491
• LCM of 385, 233, 659, 387, 919
• LCM of 498, 822, 715, 203, 502
• LCM of 510, 584, 519, 757, 191

1. What is the LCM of 486, 390, 782, 411, 716?

Answer: LCM of 486, 390, 782, 411, 716 is 605800987740.

2. How to calculate the LCM of 486, 390, 782, 411, 716?

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 486, 390, 782, 411, 716.

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}.