Given numbers are 328,232,871,767,343

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

The LCM of 328,232,871,767,343 is 167662573624.

Find LCM of 328,232,871,767,343 with Prime Factorization

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

2 x 2 x 2 x 13 x 41 x 29 x 67 x 59 x 343 = 167662573624

Therefore, the lowest common multiple of 328,232,871,767,343 is 167662573624.

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.

328 x 232 x 871 x 767 x 343 = 17436907656896

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

871 : 1, 13, 67, 871

767 : 1, 13, 59, 767

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,232,871,767,343, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

232:2x 2x 2x 29

871:13x 67

767:13x 59

343:7x 7x 7

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 13 = 104

Therefore, the value for common factors is 104.

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 = 17436907656896/(1x104)

LCM = 17436907656896/104

LCM = 167662573624

Thus, we can understand that the LCM of 328,232,871,767,343 is 167662573624.

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

• LCM of 500, 856, 635, 213, 986
• LCM of 955, 521, 643, 321, 718
• LCM of 883, 712, 112, 353, 952
• LCM of 242, 256, 227, 904, 515
• LCM of 987, 822, 877, 619, 681

1. What is the LCM of 328, 232, 871, 767, 343?

Answer: LCM of 328, 232, 871, 767, 343 is 167662573624.

2. How to calculate the LCM of 328, 232, 871, 767, 343?

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 328, 232, 871, 767, 343.

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}.