Given numbers are 298,946,566,330,198

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

The LCM of 298,946,566,330,198 is 1795049190.

Find LCM of 298,946,566,330,198 with Prime Factorization

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

2 x 3 x 11 x 149 x 43 x 283 x 5 x 3 = 1795049190

Therefore, the lowest common multiple of 298,946,566,330,198 is 1795049190.

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.

298 x 946 x 566 x 330 x 198 = 10425645695520

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.

298 : 1, 2, 149, 298

946 : 1, 2, 11, 22, 43, 86, 473, 946

566 : 1, 2, 283, 566

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,946,566,330,198, is 2.

Now, the common factors can be found like this.

298:2x 149

946:2x 11x 43

566:2x 283

330:2x 3x 5x 11

198:2x 3x 3x 11

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 3x 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 10425645695520/(2x2904)

LCM = 10425645695520/5808

LCM = 1795049190

Thus, we can understand that the LCM of 298,946,566,330,198 is 1795049190.

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

• LCM of 574, 456, 243, 589, 729
• LCM of 296, 648, 900, 919, 195
• LCM of 579, 405, 971, 376, 330
• LCM of 690, 948, 150, 899, 339
• LCM of 498, 875, 496, 843, 819

1. What is the LCM of 298, 946, 566, 330, 198?

Answer: LCM of 298, 946, 566, 330, 198 is 1795049190.

2. How to calculate the LCM of 298, 946, 566, 330, 198?

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 298, 946, 566, 330, 198.

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}.