Given numbers are 264,217,214,874

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

The LCM of 264,217,214,874 is 2678729592.

Find LCM of 264,217,214,874 with Prime Factorization

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

2 x 132 x 217 x 107 x 437 = 2678729592

Therefore, the lowest common multiple of 264,217,214,874 is 2678729592.

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.

264 x 217 x 214 x 874 = 10714918368

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

217 : 1, 7, 31, 217

214 : 1, 2, 107, 214

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,217,214,874, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

217:7x 31

214:2x 107

874:2x 19x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10714918368/(1x4)

LCM = 10714918368/4

LCM = 2678729592

Thus, we can understand that the LCM of 264,217,214,874 is 2678729592.

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

• LCM of 607, 655, 825, 612
• LCM of 178, 355, 263, 962
• LCM of 932, 695, 180, 353
• LCM of 414, 186, 492, 891
• LCM of 368, 553, 866, 819

1. What is the LCM of 264, 217, 214, 874?

Answer: LCM of 264, 217, 214, 874 is 2678729592.

2. How to calculate the LCM of 264, 217, 214, 874?

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 264, 217, 214, 874.

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}.