Given numbers are 395,107,728,966

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

The LCM of 395,107,728,966 is 2123055480.

Find LCM of 395,107,728,966 with Prime Factorization

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

2 x 7 x 395 x 107 x 52 x 69 = 2123055480

Therefore, the lowest common multiple of 395,107,728,966 is 2123055480.

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.

395 x 107 x 728 x 966 = 29722776720

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.

395 : 1, 5, 79, 395

107 : 1, 107

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,107,728,966, is 1.

Now, the common factors can be found like this.

395:5x 79

107:107

728:2x 2x 2x 7x 13

966:2x 3x 7x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 29722776720/(1x14)

LCM = 29722776720/14

LCM = 2123055480

Thus, we can understand that the LCM of 395,107,728,966 is 2123055480.

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

• LCM of 709, 823, 906, 450
• LCM of 116, 627, 902, 940
• LCM of 345, 198, 838, 351
• LCM of 963, 145, 788, 104
• LCM of 620, 527, 907, 331

1. What is the LCM of 395, 107, 728, 966?

Answer: LCM of 395, 107, 728, 966 is 2123055480.

2. How to calculate the LCM of 395, 107, 728, 966?

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 395, 107, 728, 966.

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}.