Given numbers are 132,924,689,214

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

The LCM of 132,924,689,214 is 68120052.

Find LCM of 132,924,689,214 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 7 x 689 x 107 = 68120052

Therefore, the lowest common multiple of 132,924,689,214 is 68120052.

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.

132 x 924 x 689 x 214 = 17983693728

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

689 : 1, 13, 53, 689

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,924,689,214, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

924:2x 2x 3x 7x 11

689:13x 53

214:2x 107

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 11 = 264

Therefore, the value for common factors is 264.

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 = 17983693728/(1x264)

LCM = 17983693728/264

LCM = 68120052

Thus, we can understand that the LCM of 132,924,689,214 is 68120052.

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

• LCM of 915, 326, 329, 271
• LCM of 967, 772, 166, 664
• LCM of 278, 653, 400, 633
• LCM of 782, 466, 472, 611
• LCM of 209, 322, 323, 322

1. What is the LCM of 132, 924, 689, 214?

Answer: LCM of 132, 924, 689, 214 is 68120052.

2. How to calculate the LCM of 132, 924, 689, 214?

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 132, 924, 689, 214.

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}.