Given numbers are 817,336,868,420,819

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

The LCM of 817,336,868,420,819 is 1659425040.

Find LCM of 817,336,868,420,819 with Prime Factorization

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

2 x 2 x 3 x 7 x 817 x 4 x 31 x 5 x 39 = 1659425040

Therefore, the lowest common multiple of 817,336,868,420,819 is 1659425040.

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.

817 x 336 x 868 x 420 x 819 = 81962321575680

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.

817 : 1, 19, 43, 817

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 817,336,868,420,819, is 1.

Now, the common factors can be found like this.

817:19x 43

336:2x 2x 2x 2x 3x 7

868:2x 2x 7x 31

420:2x 2x 3x 5x 7

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 3x 3x 7x 7x 7 = 49392

Therefore, the value for common factors is 49392.

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 = 81962321575680/(1x49392)

LCM = 81962321575680/49392

LCM = 1659425040

Thus, we can understand that the LCM of 817,336,868,420,819 is 1659425040.

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

• LCM of 127, 200, 636, 598, 250
• LCM of 504, 298, 815, 632, 169
• LCM of 609, 957, 104, 801, 600
• LCM of 565, 501, 265, 273, 594
• LCM of 977, 243, 870, 817, 319

1. What is the LCM of 817, 336, 868, 420, 819?

Answer: LCM of 817, 336, 868, 420, 819 is 1659425040.

2. How to calculate the LCM of 817, 336, 868, 420, 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 817, 336, 868, 420, 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}.