Given numbers are 321,301,301,278

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

The LCM of 321,301,301,278 is 26860638.

Find LCM of 321,301,301,278 with Prime Factorization

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

7 x 43 x 321 x 1 x 1 x 278 = 26860638

Therefore, the lowest common multiple of 321,301,301,278 is 26860638.

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 301 x 301 x 278 = 8085052038

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

301 : 1, 7, 43, 301

301 : 1, 7, 43, 301

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,301,301,278, is 1.

Now, the common factors can be found like this.

321:3x 107

301:7x 43

301:7x 43

278:2x 139

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

7x 43 = 301

Therefore, the value for common factors is 301.

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 = 8085052038/(1x301)

LCM = 8085052038/301

LCM = 26860638

Thus, we can understand that the LCM of 321,301,301,278 is 26860638.

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

• LCM of 724, 373, 366, 984
• LCM of 908, 828, 270, 903
• LCM of 888, 587, 377, 431
• LCM of 429, 478, 333, 899
• LCM of 338, 605, 676, 316

1. What is the LCM of 321, 301, 301, 278?

Answer: LCM of 321, 301, 301, 278 is 26860638.

2. How to calculate the LCM of 321, 301, 301, 278?

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, 301, 301, 278.

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}.