Given numbers are 213,306,688,519

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

The LCM of 213,306,688,519 is 1292957712.

Find LCM of 213,306,688,519 with Prime Factorization

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

2 x 3 x 71 x 51 x 344 x 173 = 1292957712

Therefore, the lowest common multiple of 213,306,688,519 is 1292957712.

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.

213 x 306 x 688 x 519 = 23273238816

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.

213 : 1, 3, 71, 213

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,306,688,519, is 1.

Now, the common factors can be found like this.

213:3x 71

306:2x 3x 3x 17

688:2x 2x 2x 2x 43

519:3x 173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 23273238816/(1x18)

LCM = 23273238816/18

LCM = 1292957712

Thus, we can understand that the LCM of 213,306,688,519 is 1292957712.

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

• LCM of 923, 265, 607, 803
• LCM of 434, 472, 109, 152
• LCM of 809, 142, 121, 797
• LCM of 879, 898, 495, 920
• LCM of 910, 917, 931, 892

1. What is the LCM of 213, 306, 688, 519?

Answer: LCM of 213, 306, 688, 519 is 1292957712.

2. How to calculate the LCM of 213, 306, 688, 519?

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 213, 306, 688, 519.

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}.