Given numbers are 323,254,228,464

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

The LCM of 323,254,228,464 is 57101232.

Find LCM of 323,254,228,464 with Prime Factorization

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

2 x 2 x 19 x 17 x 127 x 3 x 116 = 57101232

Therefore, the lowest common multiple of 323,254,228,464 is 57101232.

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.

323 x 254 x 228 x 464 = 8679387264

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.

323 : 1, 17, 19, 323

254 : 1, 2, 127, 254

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,254,228,464, is 1.

Now, the common factors can be found like this.

323:17x 19

254:2x 127

228:2x 2x 3x 19

464:2x 2x 2x 2x 29

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 19 = 152

Therefore, the value for common factors is 152.

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 = 8679387264/(1x152)

LCM = 8679387264/152

LCM = 57101232

Thus, we can understand that the LCM of 323,254,228,464 is 57101232.

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

• LCM of 555, 233, 740, 986
• LCM of 179, 462, 966, 437
• LCM of 556, 151, 482, 142
• LCM of 330, 991, 254, 223
• LCM of 434, 627, 271, 687

1. What is the LCM of 323, 254, 228, 464?

Answer: LCM of 323, 254, 228, 464 is 57101232.

2. How to calculate the LCM of 323, 254, 228, 464?

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 323, 254, 228, 464.

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}.