Given numbers are 967,966,728,637,696

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

The LCM of 967,966,728,637,696 is 9860591832.

Find LCM of 967,966,728,637,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 967 x 23 x 1 x 7 x 29 = 9860591832

Therefore, the lowest common multiple of 967,966,728,637,696 is 9860591832.

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.

967 x 966 x 728 x 637 x 696 = 301497455855232

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.

967 : 1, 967

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

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

637 : 1, 7, 13, 49, 91, 637

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,966,728,637,696, is 1.

Now, the common factors can be found like this.

967:967

966:2x 3x 7x 23

728:2x 2x 2x 7x 13

637:7x 7x 13

696:2x 2x 2x 3x 29

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 7x 7x 13 = 30576

Therefore, the value for common factors is 30576.

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 = 301497455855232/(1x30576)

LCM = 301497455855232/30576

LCM = 9860591832

Thus, we can understand that the LCM of 967,966,728,637,696 is 9860591832.

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

• LCM of 646, 553, 877, 298, 601
• LCM of 135, 593, 292, 697, 876
• LCM of 935, 898, 535, 143, 155
• LCM of 104, 372, 744, 400, 740
• LCM of 608, 260, 677, 974, 864

1. What is the LCM of 967, 966, 728, 637, 696?

Answer: LCM of 967, 966, 728, 637, 696 is 9860591832.

2. How to calculate the LCM of 967, 966, 728, 637, 696?

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 967, 966, 728, 637, 696.

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}.