Given numbers are 590,520,717,876,252

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

The LCM of 590,520,717,876,252 is 33722259480.

Find LCM of 590,520,717,876,252 with Prime Factorization

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

2 x 2 x 3 x 5 x 59 x 26 x 239 x 73 x 21 = 33722259480

Therefore, the lowest common multiple of 590,520,717,876,252 is 33722259480.

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.

590 x 520 x 717 x 876 x 252 = 48560053651200

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

717 : 1, 3, 239, 717

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,520,717,876,252, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

520:2x 2x 2x 5x 13

717:3x 239

876:2x 2x 3x 73

252:2x 2x 3x 3x 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 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 48560053651200/(1x1440)

LCM = 48560053651200/1440

LCM = 33722259480

Thus, we can understand that the LCM of 590,520,717,876,252 is 33722259480.

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

• LCM of 876, 573, 769, 320, 865
• LCM of 656, 304, 711, 935, 626
• LCM of 443, 818, 796, 383, 980
• LCM of 477, 254, 464, 742, 778
• LCM of 191, 154, 688, 276, 215

1. What is the LCM of 590, 520, 717, 876, 252?

Answer: LCM of 590, 520, 717, 876, 252 is 33722259480.

2. How to calculate the LCM of 590, 520, 717, 876, 252?

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 590, 520, 717, 876, 252.

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}.