Given numbers are 235,198,415,404

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

The LCM of 235,198,415,404 is 780121980.

Find LCM of 235,198,415,404 with Prime Factorization

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

2 x 5 x 47 x 99 x 83 x 202 = 780121980

Therefore, the lowest common multiple of 235,198,415,404 is 780121980.

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.

235 x 198 x 415 x 404 = 7801219800

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.

235 : 1, 5, 47, 235

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

415 : 1, 5, 83, 415

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,198,415,404, is 1.

Now, the common factors can be found like this.

235:5x 47

198:2x 3x 3x 11

415:5x 83

404:2x 2x 101

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 7801219800/(1x10)

LCM = 7801219800/10

LCM = 780121980

Thus, we can understand that the LCM of 235,198,415,404 is 780121980.

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

• LCM of 781, 309, 996, 828
• LCM of 406, 416, 843, 169
• LCM of 419, 745, 725, 595
• LCM of 737, 623, 986, 771
• LCM of 260, 186, 432, 413

1. What is the LCM of 235, 198, 415, 404?

Answer: LCM of 235, 198, 415, 404 is 780121980.

2. How to calculate the LCM of 235, 198, 415, 404?

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 235, 198, 415, 404.

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}.