Given numbers are 966,831,432,914

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

The LCM of 966,831,432,914 is 8804518128.

Find LCM of 966,831,432,914 with Prime Factorization

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

2 x 3 x 161 x 277 x 72 x 457 = 8804518128

Therefore, the lowest common multiple of 966,831,432,914 is 8804518128.

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.

966 x 831 x 432 x 914 = 316962652608

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.

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

831 : 1, 3, 277, 831

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,831,432,914, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

831:3x 277

432:2x 2x 2x 2x 3x 3x 3

914:2x 457

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 316962652608/(1x36)

LCM = 316962652608/36

LCM = 8804518128

Thus, we can understand that the LCM of 966,831,432,914 is 8804518128.

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

• LCM of 830, 992, 792, 689
• LCM of 638, 836, 522, 859
• LCM of 301, 933, 463, 817
• LCM of 979, 633, 456, 205
• LCM of 959, 847, 634, 631

1. What is the LCM of 966, 831, 432, 914?

Answer: LCM of 966, 831, 432, 914 is 8804518128.

2. How to calculate the LCM of 966, 831, 432, 914?

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 966, 831, 432, 914.

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}.