Given numbers are 859,112,272,128,398

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

The LCM of 859,112,272,128,398 is 2603773312.

Find LCM of 859,112,272,128,398 with Prime Factorization

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

2 x 2 x 2 x 2 x 859 x 7 x 17 x 8 x 199 = 2603773312

Therefore, the lowest common multiple of 859,112,272,128,398 is 2603773312.

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.

859 x 112 x 272 x 128 x 398 = 1333131935744

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.

859 : 1, 859

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

128 : 1, 2, 4, 8, 16, 32, 64, 128

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,112,272,128,398, is 1.

Now, the common factors can be found like this.

859:859

112:2x 2x 2x 2x 7

272:2x 2x 2x 2x 17

128:2x 2x 2x 2x 2x 2x 2

398:2x 199

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 2 = 512

Therefore, the value for common factors is 512.

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 = 1333131935744/(1x512)

LCM = 1333131935744/512

LCM = 2603773312

Thus, we can understand that the LCM of 859,112,272,128,398 is 2603773312.

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

• LCM of 405, 997, 232, 395, 124
• LCM of 343, 422, 932, 550, 483
• LCM of 845, 722, 148, 377, 153
• LCM of 562, 584, 870, 104, 301
• LCM of 116, 752, 635, 311, 447

1. What is the LCM of 859, 112, 272, 128, 398?

Answer: LCM of 859, 112, 272, 128, 398 is 2603773312.

2. How to calculate the LCM of 859, 112, 272, 128, 398?

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 859, 112, 272, 128, 398.

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}.