Given numbers are 210,860,586,880,728

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

The LCM of 210,860,586,880,728 is 3026783760.

Find LCM of 210,860,586,880,728 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 3 x 43 x 293 x 22 x 13 = 3026783760

Therefore, the lowest common multiple of 210,860,586,880,728 is 3026783760.

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.

210 x 860 x 586 x 880 x 728 = 67799956224000

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

586 : 1, 2, 293, 586

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,860,586,880,728, is 2.

Now, the common factors can be found like this.

210:2x 3x 5x 7

860:2x 2x 5x 43

586:2x 293

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

728:2x 2x 2x 7x 13

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 5x 5x 7 = 11200

Therefore, the value for common factors is 11200.

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 = 67799956224000/(2x11200)

LCM = 67799956224000/22400

LCM = 3026783760

Thus, we can understand that the LCM of 210,860,586,880,728 is 3026783760.

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

• LCM of 644, 460, 604, 920, 871
• LCM of 925, 620, 818, 365, 468
• LCM of 964, 716, 574, 316, 174
• LCM of 454, 438, 759, 550, 217
• LCM of 134, 516, 324, 698, 528

1. What is the LCM of 210, 860, 586, 880, 728?

Answer: LCM of 210, 860, 586, 880, 728 is 3026783760.

2. How to calculate the LCM of 210, 860, 586, 880, 728?

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 210, 860, 586, 880, 728.

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}.