Given numbers are 412,216,311,689

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

The LCM of 412,216,311,689 is 4767279192.

Find LCM of 412,216,311,689 with Prime Factorization

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

2 x 2 x 103 x 54 x 311 x 689 = 4767279192

Therefore, the lowest common multiple of 412,216,311,689 is 4767279192.

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.

412 x 216 x 311 x 689 = 19069116768

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.

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

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

311 : 1, 311

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,216,311,689, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

216:2x 2x 2x 3x 3x 3

311:311

689:13x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 19069116768/(1x4)

LCM = 19069116768/4

LCM = 4767279192

Thus, we can understand that the LCM of 412,216,311,689 is 4767279192.

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

• LCM of 944, 503, 766, 205
• LCM of 947, 414, 985, 599
• LCM of 863, 518, 712, 325
• LCM of 434, 850, 548, 457
• LCM of 520, 923, 945, 750

1. What is the LCM of 412, 216, 311, 689?

Answer: LCM of 412, 216, 311, 689 is 4767279192.

2. How to calculate the LCM of 412, 216, 311, 689?

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 412, 216, 311, 689.

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}.