Given numbers are 214,214,226,112,449

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

The LCM of 214,214,226,112,449 is 608032208.

Find LCM of 214,214,226,112,449 with Prime Factorization

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

2 x 107 x 1 x 1 x 113 x 56 x 449 = 608032208

Therefore, the lowest common multiple of 214,214,226,112,449 is 608032208.

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.

214 x 214 x 226 x 112 x 449 = 520475570048

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.

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

226 : 1, 2, 113, 226

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,214,226,112,449, is 1.

Now, the common factors can be found like this.

214:2x 107

214:2x 107

226:2x 113

112:2x 2x 2x 2x 7

449:449

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 107 = 856

Therefore, the value for common factors is 856.

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 = 520475570048/(1x856)

LCM = 520475570048/856

LCM = 608032208

Thus, we can understand that the LCM of 214,214,226,112,449 is 608032208.

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

• LCM of 372, 883, 567, 943, 917
• LCM of 784, 345, 601, 647, 675
• LCM of 586, 469, 512, 359, 672
• LCM of 625, 985, 420, 666, 843
• LCM of 708, 363, 281, 432, 242

1. What is the LCM of 214, 214, 226, 112, 449?

Answer: LCM of 214, 214, 226, 112, 449 is 608032208.

2. How to calculate the LCM of 214, 214, 226, 112, 449?

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 214, 214, 226, 112, 449.

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}.