Given numbers are 327,106,120,936,807

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

The LCM of 327,106,120,936,807 is 7272780840.

Find LCM of 327,106,120,936,807 with Prime Factorization

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

2 x 2 x 2 x 3 x 109 x 53 x 5 x 39 x 269 = 7272780840

Therefore, the lowest common multiple of 327,106,120,936,807 is 7272780840.

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.

327 x 106 x 120 x 936 x 807 = 3141841322880

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.

327 : 1, 3, 109, 327

106 : 1, 2, 53, 106

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,106,120,936,807, is 1.

Now, the common factors can be found like this.

327:3x 109

106:2x 53

120:2x 2x 2x 3x 5

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

807:3x 269

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 3141841322880/(1x432)

LCM = 3141841322880/432

LCM = 7272780840

Thus, we can understand that the LCM of 327,106,120,936,807 is 7272780840.

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

• LCM of 285, 596, 405, 289, 804
• LCM of 291, 602, 251, 997, 376
• LCM of 990, 450, 725, 293, 468
• LCM of 430, 771, 508, 870, 117
• LCM of 743, 579, 735, 127, 658

1. What is the LCM of 327, 106, 120, 936, 807?

Answer: LCM of 327, 106, 120, 936, 807 is 7272780840.

2. How to calculate the LCM of 327, 106, 120, 936, 807?

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 327, 106, 120, 936, 807.

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}.