Given numbers are 321,312,269,230

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

The LCM of 321,312,269,230 is 1032734040.

Find LCM of 321,312,269,230 with Prime Factorization

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

2 x 3 x 107 x 52 x 269 x 115 = 1032734040

Therefore, the lowest common multiple of 321,312,269,230 is 1032734040.

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.

321 x 312 x 269 x 230 = 6196404240

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.

321 : 1, 3, 107, 321

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

269 : 1, 269

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,312,269,230, is 1.

Now, the common factors can be found like this.

321:3x 107

312:2x 2x 2x 3x 13

269:269

230:2x 5x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 6196404240/(1x6)

LCM = 6196404240/6

LCM = 1032734040

Thus, we can understand that the LCM of 321,312,269,230 is 1032734040.

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

• LCM of 797, 663, 112, 923
• LCM of 356, 858, 160, 307
• LCM of 218, 971, 591, 873
• LCM of 970, 563, 828, 153
• LCM of 976, 487, 390, 224

1. What is the LCM of 321, 312, 269, 230?

Answer: LCM of 321, 312, 269, 230 is 1032734040.

2. How to calculate the LCM of 321, 312, 269, 230?

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 321, 312, 269, 230.

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}.