Given numbers are 112,221,229,458

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

The LCM of 112,221,229,458 is 5668208.

Find LCM of 112,221,229,458 with Prime Factorization

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

2 x 229 x 56 x 221 x 1 x 1 = 5668208

Therefore, the lowest common multiple of 112,221,229,458 is 5668208.

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.

112 x 221 x 229 x 458 = 2596039264

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.

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

221 : 1, 13, 17, 221

229 : 1, 229

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,221,229,458, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

221:13x 17

229:229

458:2x 229

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 2596039264/(1x458)

LCM = 2596039264/458

LCM = 5668208

Thus, we can understand that the LCM of 112,221,229,458 is 5668208.

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

• LCM of 476, 153, 389, 820
• LCM of 387, 604, 751, 436
• LCM of 864, 117, 340, 736
• LCM of 993, 376, 189, 564
• LCM of 903, 177, 787, 705

1. What is the LCM of 112, 221, 229, 458?

Answer: LCM of 112, 221, 229, 458 is 5668208.

2. How to calculate the LCM of 112, 221, 229, 458?

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 112, 221, 229, 458.

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}.