Given numbers are 332,264,556,274,592

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

The LCM of 332,264,556,274,592 is 30877995984.

Find LCM of 332,264,556,274,592 with Prime Factorization

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

2 x 2 x 2 x 83 x 33 x 139 x 137 x 74 = 30877995984

Therefore, the lowest common multiple of 332,264,556,274,592 is 30877995984.

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.

332 x 264 x 556 x 274 x 592 = 7904766971904

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.

332 : 1, 2, 4, 83, 166, 332

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

556 : 1, 2, 4, 139, 278, 556

274 : 1, 2, 137, 274

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,264,556,274,592, is 2.

Now, the common factors can be found like this.

332:2x 2x 83

264:2x 2x 2x 3x 11

556:2x 2x 139

274:2x 137

592:2x 2x 2x 2x 37

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 7904766971904/(2x128)

LCM = 7904766971904/256

LCM = 30877995984

Thus, we can understand that the LCM of 332,264,556,274,592 is 30877995984.

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

• LCM of 148, 278, 841, 452, 215
• LCM of 267, 498, 142, 256, 552
• LCM of 395, 776, 476, 704, 135
• LCM of 223, 894, 560, 436, 573
• LCM of 755, 855, 962, 960, 314

1. What is the LCM of 332, 264, 556, 274, 592?

Answer: LCM of 332, 264, 556, 274, 592 is 30877995984.

2. How to calculate the LCM of 332, 264, 556, 274, 592?

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 332, 264, 556, 274, 592.

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}.