Given numbers are 326,206,310,678

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

The LCM of 326,206,310,678 is 1764356010.

Find LCM of 326,206,310,678 with Prime Factorization

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

2 x 163 x 103 x 155 x 339 = 1764356010

Therefore, the lowest common multiple of 326,206,310,678 is 1764356010.

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 206 x 310 x 678 = 14114848080

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

206 : 1, 2, 103, 206

310 : 1, 2, 5, 10, 31, 62, 155, 310

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,206,310,678, is 2.

Now, the common factors can be found like this.

326:2x 163

206:2x 103

310:2x 5x 31

678:2x 3x 113

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 = 14114848080/(2x4)

LCM = 14114848080/8

LCM = 1764356010

Thus, we can understand that the LCM of 326,206,310,678 is 1764356010.

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

• LCM of 958, 868, 941, 848
• LCM of 186, 447, 453, 932
• LCM of 875, 214, 473, 776
• LCM of 689, 156, 265, 687
• LCM of 706, 945, 319, 160

1. What is the LCM of 326, 206, 310, 678?

Answer: LCM of 326, 206, 310, 678 is 1764356010.

2. How to calculate the LCM of 326, 206, 310, 678?

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, 206, 310, 678.

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}.