Given numbers are 198,261,194,248,894

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

The LCM of 198,261,194,248,894 is 10290651624.

Find LCM of 198,261,194,248,894 with Prime Factorization

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

2 x 3 x 3 x 11 x 29 x 97 x 124 x 149 = 10290651624

Therefore, the lowest common multiple of 198,261,194,248,894 is 10290651624.

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.

198 x 261 x 194 x 248 x 894 = 2222780750784

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.

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

261 : 1, 3, 9, 29, 87, 261

194 : 1, 2, 97, 194

248 : 1, 2, 4, 8, 31, 62, 124, 248

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,261,194,248,894, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

261:3x 3x 29

194:2x 97

248:2x 2x 2x 31

894:2x 3x 149

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 2222780750784/(1x216)

LCM = 2222780750784/216

LCM = 10290651624

Thus, we can understand that the LCM of 198,261,194,248,894 is 10290651624.

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

• LCM of 529, 485, 360, 111, 907
• LCM of 739, 100, 535, 715, 339
• LCM of 389, 273, 228, 133, 959
• LCM of 314, 635, 469, 579, 421
• LCM of 763, 809, 751, 678, 932

1. What is the LCM of 198, 261, 194, 248, 894?

Answer: LCM of 198, 261, 194, 248, 894 is 10290651624.

2. How to calculate the LCM of 198, 261, 194, 248, 894?

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 198, 261, 194, 248, 894.

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}.