Given numbers are 438,950,198,912,219

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

The LCM of 438,950,198,912,219 is 54925200.

Find LCM of 438,950,198,912,219 with Prime Factorization

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

2 x 3 x 19 x 73 x 1 x 25 x 33 x 8 x 1 = 54925200

Therefore, the lowest common multiple of 438,950,198,912,219 is 54925200.

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.

438 x 950 x 198 x 912 x 219 = 16455150518400

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,950,198,912,219, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

950:2x 5x 5x 19

198:2x 3x 3x 11

912:2x 2x 2x 2x 3x 19

219:3x 73

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 19x 73 = 299592

Therefore, the value for common factors is 299592.

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 = 16455150518400/(1x299592)

LCM = 16455150518400/299592

LCM = 54925200

Thus, we can understand that the LCM of 438,950,198,912,219 is 54925200.

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

• LCM of 684, 687, 100, 162, 401
• LCM of 730, 862, 613, 442, 586
• LCM of 891, 444, 818, 290, 623
• LCM of 974, 657, 549, 235, 401
• LCM of 815, 978, 260, 630, 263

1. What is the LCM of 438, 950, 198, 912, 219?

Answer: LCM of 438, 950, 198, 912, 219 is 54925200.

2. How to calculate the LCM of 438, 950, 198, 912, 219?

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 438, 950, 198, 912, 219.

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}.