Given numbers are 219,450,704,514

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

The LCM of 219,450,704,514 is 2971742400.

Find LCM of 219,450,704,514 with Prime Factorization

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

2 x 3 x 73 x 75 x 352 x 257 = 2971742400

Therefore, the lowest common multiple of 219,450,704,514 is 2971742400.

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.

219 x 450 x 704 x 514 = 35660908800

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.

219 : 1, 3, 73, 219

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,450,704,514, is 1.

Now, the common factors can be found like this.

219:3x 73

450:2x 3x 3x 5x 5

704:2x 2x 2x 2x 2x 2x 11

514:2x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 35660908800/(1x12)

LCM = 35660908800/12

LCM = 2971742400

Thus, we can understand that the LCM of 219,450,704,514 is 2971742400.

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

• LCM of 218, 962, 408, 836
• LCM of 997, 602, 175, 569
• LCM of 815, 156, 748, 967
• LCM of 633, 320, 631, 127
• LCM of 452, 562, 870, 638

1. What is the LCM of 219, 450, 704, 514?

Answer: LCM of 219, 450, 704, 514 is 2971742400.

2. How to calculate the LCM of 219, 450, 704, 514?

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 219, 450, 704, 514.

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}.