Given numbers are 966,756,672,214

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

The LCM of 966,756,672,214 is 14884128.

Find LCM of 966,756,672,214 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 9 x 8 x 107 = 14884128

Therefore, the lowest common multiple of 966,756,672,214 is 14884128.

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 756 x 672 x 214 = 105022407168

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,756,672,214, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

756:2x 2x 3x 3x 3x 7

672:2x 2x 2x 2x 2x 3x 7

214:2x 107

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 105022407168/(2x3528)

LCM = 105022407168/7056

LCM = 14884128

Thus, we can understand that the LCM of 966,756,672,214 is 14884128.

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

• LCM of 454, 376, 289, 544
• LCM of 937, 480, 416, 510
• LCM of 732, 607, 945, 608
• LCM of 739, 333, 528, 244
• LCM of 690, 139, 342, 500

1. What is the LCM of 966, 756, 672, 214?

Answer: LCM of 966, 756, 672, 214 is 14884128.

2. How to calculate the LCM of 966, 756, 672, 214?

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, 756, 672, 214.

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}.