Given numbers are 199,113,268,413,226

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

The LCM of 199,113,268,413,226 is 2488951108.

Find LCM of 199,113,268,413,226 with Prime Factorization

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

2 x 113 x 199 x 1 x 134 x 413 x 1 = 2488951108

Therefore, the lowest common multiple of 199,113,268,413,226 is 2488951108.

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.

199 x 113 x 268 x 413 x 226 = 562502950408

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.

199 : 1, 199

113 : 1, 113

268 : 1, 2, 4, 67, 134, 268

413 : 1, 7, 59, 413

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,113,268,413,226, is 1.

Now, the common factors can be found like this.

199:199

113:113

268:2x 2x 67

413:7x 59

226:2x 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 113 = 226

Therefore, the value for common factors is 226.

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 = 562502950408/(1x226)

LCM = 562502950408/226

LCM = 2488951108

Thus, we can understand that the LCM of 199,113,268,413,226 is 2488951108.

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

• LCM of 468, 277, 488, 719, 274
• LCM of 834, 894, 302, 780, 979
• LCM of 146, 646, 938, 381, 846
• LCM of 864, 131, 869, 875, 169
• LCM of 367, 231, 720, 566, 671

1. What is the LCM of 199, 113, 268, 413, 226?

Answer: LCM of 199, 113, 268, 413, 226 is 2488951108.

2. How to calculate the LCM of 199, 113, 268, 413, 226?

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 199, 113, 268, 413, 226.

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}.