Given numbers are 489,924,642,386,522

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

The LCM of 489,924,642,386,522 is 270595091844.

Find LCM of 489,924,642,386,522 with Prime Factorization

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

2 x 3 x 163 x 154 x 107 x 193 x 87 = 270595091844

Therefore, the lowest common multiple of 489,924,642,386,522 is 270595091844.

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.

489 x 924 x 642 x 386 x 522 = 58448539838304

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.

489 : 1, 3, 163, 489

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

642 : 1, 2, 3, 6, 107, 214, 321, 642

386 : 1, 2, 193, 386

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,924,642,386,522, is 1.

Now, the common factors can be found like this.

489:3x 163

924:2x 2x 3x 7x 11

642:2x 3x 107

386:2x 193

522:2x 3x 3x 29

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 58448539838304/(1x216)

LCM = 58448539838304/216

LCM = 270595091844

Thus, we can understand that the LCM of 489,924,642,386,522 is 270595091844.

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

• LCM of 953, 498, 538, 441, 736
• LCM of 398, 943, 241, 119, 182
• LCM of 883, 753, 276, 409, 460
• LCM of 187, 696, 392, 350, 819
• LCM of 222, 416, 190, 963, 285

1. What is the LCM of 489, 924, 642, 386, 522?

Answer: LCM of 489, 924, 642, 386, 522 is 270595091844.

2. How to calculate the LCM of 489, 924, 642, 386, 522?

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 489, 924, 642, 386, 522.

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}.