Given numbers are 352,270,600,746,880

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

The LCM of 352,270,600,746,880 is 88624800.

Find LCM of 352,270,600,746,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 11 x 2 x 9 x 5 x 373 x 1 = 88624800

Therefore, the lowest common multiple of 352,270,600,746,880 is 88624800.

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.

352 x 270 x 600 x 746 x 880 = 37435115520000

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

746 : 1, 2, 373, 746

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,270,600,746,880, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

270:2x 3x 3x 3x 5

600:2x 2x 2x 3x 5x 5

746:2x 373

880:2x 2x 2x 2x 5x 11

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 2x 2x 3x 5x 5x 11 = 211200

Therefore, the value for common factors is 211200.

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 = 37435115520000/(2x211200)

LCM = 37435115520000/422400

LCM = 88624800

Thus, we can understand that the LCM of 352,270,600,746,880 is 88624800.

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

• LCM of 565, 721, 855, 731, 287
• LCM of 825, 797, 619, 320, 605
• LCM of 254, 186, 313, 439, 459
• LCM of 348, 403, 617, 804, 808
• LCM of 815, 287, 301, 444, 905

1. What is the LCM of 352, 270, 600, 746, 880?

Answer: LCM of 352, 270, 600, 746, 880 is 88624800.

2. How to calculate the LCM of 352, 270, 600, 746, 880?

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 352, 270, 600, 746, 880.

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}.