Given numbers are 728,884,319,296,352

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

The LCM of 728,884,319,296,352 is 584295712.

Find LCM of 728,884,319,296,352 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 7 x 17 x 29 x 37 x 4 = 584295712

Therefore, the lowest common multiple of 728,884,319,296,352 is 584295712.

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.

728 x 884 x 319 x 296 x 352 = 21389897424896

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.

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

319 : 1, 11, 29, 319

296 : 1, 2, 4, 8, 37, 74, 148, 296

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,884,319,296,352, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

884:2x 2x 13x 17

319:11x 29

296:2x 2x 2x 37

352:2x 2x 2x 2x 2x 11

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 2x 2x 2x 11x 13 = 36608

Therefore, the value for common factors is 36608.

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 = 21389897424896/(1x36608)

LCM = 21389897424896/36608

LCM = 584295712

Thus, we can understand that the LCM of 728,884,319,296,352 is 584295712.

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

• LCM of 935, 628, 508, 780, 181
• LCM of 774, 380, 987, 509, 751
• LCM of 114, 276, 687, 205, 775
• LCM of 159, 361, 363, 636, 653
• LCM of 451, 161, 359, 650, 517

1. What is the LCM of 728, 884, 319, 296, 352?

Answer: LCM of 728, 884, 319, 296, 352 is 584295712.

2. How to calculate the LCM of 728, 884, 319, 296, 352?

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 728, 884, 319, 296, 352.

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}.