Given numbers are 936,285,684,462,976

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

The LCM of 936,285,684,462,976 is 835314480.

Find LCM of 936,285,684,462,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 19 x 13 x 5 x 1 x 77 x 122 = 835314480

Therefore, the lowest common multiple of 936,285,684,462,976 is 835314480.

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.

936 x 285 x 684 x 462 x 976 = 82275135022080

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

285 : 1, 3, 5, 15, 19, 57, 95, 285

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,285,684,462,976, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

285:3x 5x 19

684:2x 2x 3x 3x 19

462:2x 3x 7x 11

976:2x 2x 2x 2x 61

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 3x 3x 3x 3x 19 = 98496

Therefore, the value for common factors is 98496.

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 = 82275135022080/(1x98496)

LCM = 82275135022080/98496

LCM = 835314480

Thus, we can understand that the LCM of 936,285,684,462,976 is 835314480.

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

• LCM of 134, 581, 856, 976, 880
• LCM of 801, 995, 820, 154, 740
• LCM of 114, 149, 845, 216, 258
• LCM of 508, 315, 598, 979, 285
• LCM of 715, 815, 644, 333, 189

1. What is the LCM of 936, 285, 684, 462, 976?

Answer: LCM of 936, 285, 684, 462, 976 is 835314480.

2. How to calculate the LCM of 936, 285, 684, 462, 976?

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 936, 285, 684, 462, 976.

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}.