Given numbers are 232,286,689,614

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

The LCM of 232,286,689,614 is 539806696.

Find LCM of 232,286,689,614 with Prime Factorization

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

2 x 13 x 116 x 11 x 53 x 307 = 539806696

Therefore, the lowest common multiple of 232,286,689,614 is 539806696.

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.

232 x 286 x 689 x 614 = 28069948192

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

286 : 1, 2, 11, 13, 22, 26, 143, 286

689 : 1, 13, 53, 689

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,286,689,614, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

286:2x 11x 13

689:13x 53

614:2x 307

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 13 = 52

Therefore, the value for common factors is 52.

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 = 28069948192/(1x52)

LCM = 28069948192/52

LCM = 539806696

Thus, we can understand that the LCM of 232,286,689,614 is 539806696.

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

• LCM of 571, 241, 518, 868
• LCM of 352, 359, 828, 145
• LCM of 466, 825, 282, 287
• LCM of 889, 219, 891, 160
• LCM of 388, 500, 257, 414

1. What is the LCM of 232, 286, 689, 614?

Answer: LCM of 232, 286, 689, 614 is 539806696.

2. How to calculate the LCM of 232, 286, 689, 614?

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 232, 286, 689, 614.

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}.