Given numbers are 966,283,331,412

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

The LCM of 966,283,331,412 is 18640552308.

Find LCM of 966,283,331,412 with Prime Factorization

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

2 x 483 x 283 x 331 x 206 = 18640552308

Therefore, the lowest common multiple of 966,283,331,412 is 18640552308.

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 283 x 331 x 412 = 37281104616

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

283 : 1, 283

331 : 1, 331

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,283,331,412, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

283:283

331:331

412:2x 2x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 37281104616/(1x2)

LCM = 37281104616/2

LCM = 18640552308

Thus, we can understand that the LCM of 966,283,331,412 is 18640552308.

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

• LCM of 354, 178, 564, 442
• LCM of 582, 268, 483, 276
• LCM of 606, 507, 161, 341
• LCM of 183, 424, 637, 782
• LCM of 412, 450, 841, 404

1. What is the LCM of 966, 283, 331, 412?

Answer: LCM of 966, 283, 331, 412 is 18640552308.

2. How to calculate the LCM of 966, 283, 331, 412?

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, 283, 331, 412.

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}.