Given numbers are 133,298,245,208

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

The LCM of 133,298,245,208 is 144267760.

Find LCM of 133,298,245,208 with Prime Factorization

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

2 x 7 x 19 x 149 x 35 x 104 = 144267760

Therefore, the lowest common multiple of 133,298,245,208 is 144267760.

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.

133 x 298 x 245 x 208 = 2019748640

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.

133 : 1, 7, 19, 133

298 : 1, 2, 149, 298

245 : 1, 5, 7, 35, 49, 245

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,298,245,208, is 1.

Now, the common factors can be found like this.

133:7x 19

298:2x 149

245:5x 7x 7

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 7 = 14

Therefore, the value for common factors is 14.

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 = 2019748640/(1x14)

LCM = 2019748640/14

LCM = 144267760

Thus, we can understand that the LCM of 133,298,245,208 is 144267760.

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

• LCM of 547, 703, 454, 565
• LCM of 851, 227, 891, 867
• LCM of 457, 317, 663, 205
• LCM of 627, 239, 647, 381
• LCM of 264, 237, 333, 723

1. What is the LCM of 133, 298, 245, 208?

Answer: LCM of 133, 298, 245, 208 is 144267760.

2. How to calculate the LCM of 133, 298, 245, 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 133, 298, 245, 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}.