Given numbers are 557,741,648,368,328

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

The LCM of 557,741,648,368,328 is 168139148112.

Find LCM of 557,741,648,368,328 with Prime Factorization

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

2 x 2 x 2 x 3 x 557 x 247 x 27 x 46 x 41 = 168139148112

Therefore, the lowest common multiple of 557,741,648,368,328 is 168139148112.

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.

557 x 741 x 648 x 368 x 328 = 32282716437504

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.

557 : 1, 557

741 : 1, 3, 13, 19, 39, 57, 247, 741

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,741,648,368,328, is 1.

Now, the common factors can be found like this.

557:557

741:3x 13x 19

648:2x 2x 2x 3x 3x 3x 3

368:2x 2x 2x 2x 23

328:2x 2x 2x 41

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 3 = 192

Therefore, the value for common factors is 192.

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 = 32282716437504/(1x192)

LCM = 32282716437504/192

LCM = 168139148112

Thus, we can understand that the LCM of 557,741,648,368,328 is 168139148112.

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

• LCM of 499, 308, 588, 519, 873
• LCM of 882, 329, 828, 991, 325
• LCM of 886, 771, 387, 168, 223
• LCM of 734, 309, 603, 794, 605
• LCM of 400, 449, 799, 718, 482

1. What is the LCM of 557, 741, 648, 368, 328?

Answer: LCM of 557, 741, 648, 368, 328 is 168139148112.

2. How to calculate the LCM of 557, 741, 648, 368, 328?

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 557, 741, 648, 368, 328.

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}.