Given numbers are 935,336,827,368,816

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

The LCM of 935,336,827,368,816 is 5975637360.

Find LCM of 935,336,827,368,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 55 x 7 x 827 x 23 x 1 = 5975637360

Therefore, the lowest common multiple of 935,336,827,368,816 is 5975637360.

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.

935 x 336 x 827 x 368 x 816 = 78017921372160

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

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

827 : 1, 827

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,336,827,368,816, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

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

827:827

368:2x 2x 2x 2x 23

816:2x 2x 2x 2x 3x 17

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 3x 17 = 13056

Therefore, the value for common factors is 13056.

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 = 78017921372160/(1x13056)

LCM = 78017921372160/13056

LCM = 5975637360

Thus, we can understand that the LCM of 935,336,827,368,816 is 5975637360.

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

• LCM of 728, 642, 402, 896, 105
• LCM of 684, 846, 869, 541, 450
• LCM of 645, 354, 584, 931, 969
• LCM of 493, 203, 320, 515, 158
• LCM of 915, 191, 854, 303, 518

1. What is the LCM of 935, 336, 827, 368, 816?

Answer: LCM of 935, 336, 827, 368, 816 is 5975637360.

2. How to calculate the LCM of 935, 336, 827, 368, 816?

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 935, 336, 827, 368, 816.

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}.