Given numbers are 136,230,242,208

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

The LCM of 136,230,242,208 is 49203440.

Find LCM of 136,230,242,208 with Prime Factorization

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

2 x 2 x 2 x 17 x 115 x 121 x 26 = 49203440

Therefore, the lowest common multiple of 136,230,242,208 is 49203440.

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.

136 x 230 x 242 x 208 = 1574510080

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.

136 : 1, 2, 4, 8, 17, 34, 68, 136

230 : 1, 2, 5, 10, 23, 46, 115, 230

242 : 1, 2, 11, 22, 121, 242

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,230,242,208, is 2.

Now, the common factors can be found like this.

136:2x 2x 2x 17

230:2x 5x 23

242:2x 11x 11

208:2x 2x 2x 2x 13

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 1574510080/(2x16)

LCM = 1574510080/32

LCM = 49203440

Thus, we can understand that the LCM of 136,230,242,208 is 49203440.

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

• LCM of 466, 631, 386, 183
• LCM of 417, 506, 809, 759
• LCM of 800, 140, 481, 968
• LCM of 827, 865, 140, 109
• LCM of 798, 179, 723, 154

1. What is the LCM of 136, 230, 242, 208?

Answer: LCM of 136, 230, 242, 208 is 49203440.

2. How to calculate the LCM of 136, 230, 242, 208?

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 136, 230, 242, 208.

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}.