Given numbers are 278,412,234,213

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

The LCM of 278,412,234,213 is 475725276.

Find LCM of 278,412,234,213 with Prime Factorization

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

2 x 3 x 139 x 206 x 39 x 71 = 475725276

Therefore, the lowest common multiple of 278,412,234,213 is 475725276.

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.

278 x 412 x 234 x 213 = 5708703312

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.

278 : 1, 2, 139, 278

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,412,234,213, is 1.

Now, the common factors can be found like this.

278:2x 139

412:2x 2x 103

234:2x 3x 3x 13

213:3x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5708703312/(1x12)

LCM = 5708703312/12

LCM = 475725276

Thus, we can understand that the LCM of 278,412,234,213 is 475725276.

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

• LCM of 240, 415, 229, 463
• LCM of 616, 306, 765, 147
• LCM of 139, 629, 612, 399
• LCM of 913, 330, 744, 242
• LCM of 105, 105, 974, 819

1. What is the LCM of 278, 412, 234, 213?

Answer: LCM of 278, 412, 234, 213 is 475725276.

2. How to calculate the LCM of 278, 412, 234, 213?

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 278, 412, 234, 213.

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}.