Given numbers are 493,920,529,320,868

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

The LCM of 493,920,529,320,868 is 18109743680.

Find LCM of 493,920,529,320,868 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 493 x 1 x 23 x 8 x 217 = 18109743680

Therefore, the lowest common multiple of 493,920,529,320,868 is 18109743680.

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.

493 x 920 x 529 x 320 x 868 = 66643856742400

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.

493 : 1, 17, 29, 493

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

529 : 1, 23, 529

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,920,529,320,868, is 1.

Now, the common factors can be found like this.

493:17x 29

920:2x 2x 2x 5x 23

529:23x 23

320:2x 2x 2x 2x 2x 2x 5

868:2x 2x 7x 31

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 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 66643856742400/(1x3680)

LCM = 66643856742400/3680

LCM = 18109743680

Thus, we can understand that the LCM of 493,920,529,320,868 is 18109743680.

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

• LCM of 741, 733, 716, 591, 280
• LCM of 853, 870, 639, 295, 432
• LCM of 301, 604, 892, 971, 433
• LCM of 766, 250, 898, 898, 225
• LCM of 771, 837, 555, 228, 228

1. What is the LCM of 493, 920, 529, 320, 868?

Answer: LCM of 493, 920, 529, 320, 868 is 18109743680.

2. How to calculate the LCM of 493, 920, 529, 320, 868?

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 493, 920, 529, 320, 868.

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}.