Given numbers are 326,125,278,288

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

The LCM of 326,125,278,288 is 815652000.

Find LCM of 326,125,278,288 with Prime Factorization

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

2 x 163 x 125 x 139 x 144 = 815652000

Therefore, the lowest common multiple of 326,125,278,288 is 815652000.

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.

326 x 125 x 278 x 288 = 3262608000

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.

326 : 1, 2, 163, 326

125 : 1, 5, 25, 125

278 : 1, 2, 139, 278

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,125,278,288, is 1.

Now, the common factors can be found like this.

326:2x 163

125:5x 5x 5

278:2x 139

288:2x 2x 2x 2x 2x 3x 3

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 = 3262608000/(1x4)

LCM = 3262608000/4

LCM = 815652000

Thus, we can understand that the LCM of 326,125,278,288 is 815652000.

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

• LCM of 986, 254, 238, 256
• LCM of 445, 894, 792, 109
• LCM of 406, 906, 104, 625
• LCM of 361, 853, 737, 907
• LCM of 505, 412, 342, 555

1. What is the LCM of 326, 125, 278, 288?

Answer: LCM of 326, 125, 278, 288 is 815652000.

2. How to calculate the LCM of 326, 125, 278, 288?

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 326, 125, 278, 288.

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}.