Given numbers are 442,590,819,336

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

The LCM of 442,590,819,336 is 65716560.

Find LCM of 442,590,819,336 with Prime Factorization

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

2 x 3 x 7 x 13 x 17 x 295 x 3 x 8 = 65716560

Therefore, the lowest common multiple of 442,590,819,336 is 65716560.

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.

442 x 590 x 819 x 336 = 71762483520

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

590 : 1, 2, 5, 10, 59, 118, 295, 590

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,590,819,336, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

590:2x 5x 59

819:3x 3x 7x 13

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

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 3x 7x 13 = 1092

Therefore, the value for common factors is 1092.

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 = 71762483520/(1x1092)

LCM = 71762483520/1092

LCM = 65716560

Thus, we can understand that the LCM of 442,590,819,336 is 65716560.

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

• LCM of 412, 285, 262, 676
• LCM of 778, 419, 835, 171
• LCM of 622, 848, 671, 794
• LCM of 116, 186, 399, 802
• LCM of 965, 814, 162, 375

1. What is the LCM of 442, 590, 819, 336?

Answer: LCM of 442, 590, 819, 336 is 65716560.

2. How to calculate the LCM of 442, 590, 819, 336?

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 442, 590, 819, 336.

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}.