Given numbers are 645,465,395,252,880

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

The LCM of 645,465,395,252,880 is 5838220080.

Find LCM of 645,465,395,252,880 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 31 x 79 x 21 x 44 = 5838220080

Therefore, the lowest common multiple of 645,465,395,252,880 is 5838220080.

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.

645 x 465 x 395 x 252 x 880 = 26271990360000

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

465 : 1, 3, 5, 15, 31, 93, 155, 465

395 : 1, 5, 79, 395

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,465,395,252,880, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

465:3x 5x 31

395:5x 79

252:2x 2x 3x 3x 7

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 26271990360000/(1x4500)

LCM = 26271990360000/4500

LCM = 5838220080

Thus, we can understand that the LCM of 645,465,395,252,880 is 5838220080.

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

• LCM of 145, 753, 424, 710, 641
• LCM of 473, 223, 269, 864, 179
• LCM of 918, 636, 694, 388, 424
• LCM of 765, 455, 543, 781, 543
• LCM of 648, 899, 642, 699, 593

1. What is the LCM of 645, 465, 395, 252, 880?

Answer: LCM of 645, 465, 395, 252, 880 is 5838220080.

2. How to calculate the LCM of 645, 465, 395, 252, 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 645, 465, 395, 252, 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}.