Given numbers are 305,634,467,492

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

The LCM of 305,634,467,492 is 22214732340.

Find LCM of 305,634,467,492 with Prime Factorization

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

2 x 305 x 317 x 467 x 246 = 22214732340

Therefore, the lowest common multiple of 305,634,467,492 is 22214732340.

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.

305 x 634 x 467 x 492 = 44429464680

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.

305 : 1, 5, 61, 305

634 : 1, 2, 317, 634

467 : 1, 467

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,634,467,492, is 1.

Now, the common factors can be found like this.

305:5x 61

634:2x 317

467:467

492:2x 2x 3x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 44429464680/(1x2)

LCM = 44429464680/2

LCM = 22214732340

Thus, we can understand that the LCM of 305,634,467,492 is 22214732340.

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

• LCM of 689, 701, 237, 567
• LCM of 322, 164, 406, 637
• LCM of 369, 872, 857, 698
• LCM of 574, 222, 500, 501
• LCM of 132, 810, 194, 826

1. What is the LCM of 305, 634, 467, 492?

Answer: LCM of 305, 634, 467, 492 is 22214732340.

2. How to calculate the LCM of 305, 634, 467, 492?

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 305, 634, 467, 492.

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}.