Given numbers are 538,684,828,304,489

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

The LCM of 538,684,828,304,489 is 2759204016.

Find LCM of 538,684,828,304,489 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 269 x 1 x 23 x 4 x 163 = 2759204016

Therefore, the lowest common multiple of 538,684,828,304,489 is 2759204016.

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.

538 x 684 x 828 x 304 x 489 = 45295093126656

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.

538 : 1, 2, 269, 538

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,684,828,304,489, is 1.

Now, the common factors can be found like this.

538:2x 269

684:2x 2x 3x 3x 19

828:2x 2x 3x 3x 23

304:2x 2x 2x 2x 19

489:3x 163

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 3x 3x 3x 19 = 16416

Therefore, the value for common factors is 16416.

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 = 45295093126656/(1x16416)

LCM = 45295093126656/16416

LCM = 2759204016

Thus, we can understand that the LCM of 538,684,828,304,489 is 2759204016.

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

• LCM of 451, 864, 496, 970, 524
• LCM of 924, 629, 971, 401, 105
• LCM of 260, 528, 161, 956, 967
• LCM of 134, 529, 438, 237, 487
• LCM of 182, 500, 407, 351, 590

1. What is the LCM of 538, 684, 828, 304, 489?

Answer: LCM of 538, 684, 828, 304, 489 is 2759204016.

2. How to calculate the LCM of 538, 684, 828, 304, 489?

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 538, 684, 828, 304, 489.

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}.