Given numbers are 305,198,507,298,134

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

The LCM of 305,198,507,298,134 is 101885599530.

Find LCM of 305,198,507,298,134 with Prime Factorization

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

2 x 3 x 305 x 33 x 169 x 149 x 67 = 101885599530

Therefore, the lowest common multiple of 305,198,507,298,134 is 101885599530.

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 198 x 507 x 298 x 134 = 1222627194360

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

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

507 : 1, 3, 13, 39, 169, 507

298 : 1, 2, 149, 298

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,198,507,298,134, is 1.

Now, the common factors can be found like this.

305:5x 61

198:2x 3x 3x 11

507:3x 13x 13

298:2x 149

134:2x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1222627194360/(1x12)

LCM = 1222627194360/12

LCM = 101885599530

Thus, we can understand that the LCM of 305,198,507,298,134 is 101885599530.

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

• LCM of 661, 584, 407, 626, 982
• LCM of 938, 399, 842, 677, 680
• LCM of 905, 852, 906, 576, 194
• LCM of 422, 107, 735, 231, 290
• LCM of 569, 176, 978, 501, 283

1. What is the LCM of 305, 198, 507, 298, 134?

Answer: LCM of 305, 198, 507, 298, 134 is 101885599530.

2. How to calculate the LCM of 305, 198, 507, 298, 134?

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, 198, 507, 298, 134.

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}.