Given numbers are 458,366,323,112

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

The LCM of 458,366,323,112 is 1516027632.

Find LCM of 458,366,323,112 with Prime Factorization

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

2 x 229 x 183 x 323 x 56 = 1516027632

Therefore, the lowest common multiple of 458,366,323,112 is 1516027632.

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.

458 x 366 x 323 x 112 = 6064110528

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.

458 : 1, 2, 229, 458

366 : 1, 2, 3, 6, 61, 122, 183, 366

323 : 1, 17, 19, 323

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,366,323,112, is 1.

Now, the common factors can be found like this.

458:2x 229

366:2x 3x 61

323:17x 19

112:2x 2x 2x 2x 7

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 = 6064110528/(1x4)

LCM = 6064110528/4

LCM = 1516027632

Thus, we can understand that the LCM of 458,366,323,112 is 1516027632.

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

• LCM of 108, 559, 731, 849
• LCM of 704, 713, 976, 370
• LCM of 463, 778, 182, 950
• LCM of 113, 894, 504, 950
• LCM of 962, 197, 278, 973

1. What is the LCM of 458, 366, 323, 112?

Answer: LCM of 458, 366, 323, 112 is 1516027632.

2. How to calculate the LCM of 458, 366, 323, 112?

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 458, 366, 323, 112.

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}.