Given numbers are 442,450,486,939,198

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

The LCM of 442,450,486,939,198 is 9244971450.

Find LCM of 442,450,486,939,198 with Prime Factorization

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

2 x 3 x 3 x 221 x 25 x 27 x 313 x 11 = 9244971450

Therefore, the lowest common multiple of 442,450,486,939,198 is 9244971450.

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.

442 x 450 x 486 x 939 x 198 = 17972224498800

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

939 : 1, 3, 313, 939

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,450,486,939,198, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

450:2x 3x 3x 5x 5

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

939:3x 313

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 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 17972224498800/(1x1944)

LCM = 17972224498800/1944

LCM = 9244971450

Thus, we can understand that the LCM of 442,450,486,939,198 is 9244971450.

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

• LCM of 239, 511, 517, 293, 870
• LCM of 203, 279, 681, 659, 602
• LCM of 146, 313, 564, 186, 309
• LCM of 715, 591, 937, 549, 819
• LCM of 286, 576, 948, 195, 422

1. What is the LCM of 442, 450, 486, 939, 198?

Answer: LCM of 442, 450, 486, 939, 198 is 9244971450.

2. How to calculate the LCM of 442, 450, 486, 939, 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 442, 450, 486, 939, 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}.