Given numbers are 198,486,263,994,144

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

The LCM of 198,486,263,994,144 is 5590248048.

Find LCM of 198,486,263,994,144 with Prime Factorization

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

2 x 3 x 3 x 11 x 27 x 263 x 497 x 8 = 5590248048

Therefore, the lowest common multiple of 198,486,263,994,144 is 5590248048.

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 486 x 263 x 994 x 144 = 3622480735104

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

263 : 1, 263

994 : 1, 2, 7, 14, 71, 142, 497, 994

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,486,263,994,144, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

486:2x 3x 3x 3x 3x 3

263:263

994:2x 7x 71

144:2x 2x 2x 2x 3x 3

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 3622480735104/(1x648)

LCM = 3622480735104/648

LCM = 5590248048

Thus, we can understand that the LCM of 198,486,263,994,144 is 5590248048.

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

• LCM of 946, 297, 686, 785, 657
• LCM of 394, 578, 733, 984, 127
• LCM of 601, 164, 845, 341, 860
• LCM of 458, 969, 239, 570, 347
• LCM of 907, 369, 239, 372, 386

1. What is the LCM of 198, 486, 263, 994, 144?

Answer: LCM of 198, 486, 263, 994, 144 is 5590248048.

2. How to calculate the LCM of 198, 486, 263, 994, 144?

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, 486, 263, 994, 144.

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}.