Given numbers are 728,283,428,286,276

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

The LCM of 728,283,428,286,276 is 16731827112.

Find LCM of 728,283,428,286,276 with Prime Factorization

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

2 x 2 x 13 x 14 x 283 x 107 x 11 x 69 = 16731827112

Therefore, the lowest common multiple of 728,283,428,286,276 is 16731827112.

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 283 x 428 x 286 x 276 = 6960440078592

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

283 : 1, 283

428 : 1, 2, 4, 107, 214, 428

286 : 1, 2, 11, 13, 22, 26, 143, 286

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,283,428,286,276, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

283:283

428:2x 2x 107

286:2x 11x 13

276:2x 2x 3x 23

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 13 = 416

Therefore, the value for common factors is 416.

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 = 6960440078592/(1x416)

LCM = 6960440078592/416

LCM = 16731827112

Thus, we can understand that the LCM of 728,283,428,286,276 is 16731827112.

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

• LCM of 245, 527, 480, 620, 747
• LCM of 612, 945, 787, 598, 494
• LCM of 622, 586, 316, 161, 254
• LCM of 410, 793, 961, 834, 111
• LCM of 613, 968, 801, 909, 689

1. What is the LCM of 728, 283, 428, 286, 276?

Answer: LCM of 728, 283, 428, 286, 276 is 16731827112.

2. How to calculate the LCM of 728, 283, 428, 286, 276?

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, 283, 428, 286, 276.

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}.