Given numbers are 310,336,726,366,728

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

The LCM of 310,336,726,366,728 is 4997232240.

Find LCM of 310,336,726,366,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 155 x 2 x 121 x 61 x 13 = 4997232240

Therefore, the lowest common multiple of 310,336,726,366,728 is 4997232240.

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.

310 x 336 x 726 x 366 x 728 = 20148840391680

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

366 : 1, 2, 3, 6, 61, 122, 183, 366

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,336,726,366,728, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

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

726:2x 3x 11x 11

366:2x 3x 61

728:2x 2x 2x 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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 20148840391680/(2x2016)

LCM = 20148840391680/4032

LCM = 4997232240

Thus, we can understand that the LCM of 310,336,726,366,728 is 4997232240.

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

• LCM of 968, 563, 166, 665, 113
• LCM of 859, 708, 552, 623, 624
• LCM of 203, 329, 283, 363, 266
• LCM of 493, 369, 453, 299, 565
• LCM of 677, 787, 495, 816, 183

1. What is the LCM of 310, 336, 726, 366, 728?

Answer: LCM of 310, 336, 726, 366, 728 is 4997232240.

2. How to calculate the LCM of 310, 336, 726, 366, 728?

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 310, 336, 726, 366, 728.

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}.