Given numbers are 884,782,363,324,971

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

The LCM of 884,782,363,324,971 is 193494987972.

Find LCM of 884,782,363,324,971 with Prime Factorization

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

2 x 2 x 3 x 17 x 13 x 23 x 121 x 27 x 971 = 193494987972

Therefore, the lowest common multiple of 884,782,363,324,971 is 193494987972.

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.

884 x 782 x 363 x 324 x 971 = 78945955092576

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

782 : 1, 2, 17, 23, 34, 46, 391, 782

363 : 1, 3, 11, 33, 121, 363

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,782,363,324,971, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

782:2x 17x 23

363:3x 11x 11

324:2x 2x 3x 3x 3x 3

971:971

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 78945955092576/(1x408)

LCM = 78945955092576/408

LCM = 193494987972

Thus, we can understand that the LCM of 884,782,363,324,971 is 193494987972.

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

• LCM of 162, 231, 199, 867, 619
• LCM of 191, 193, 362, 555, 930
• LCM of 355, 304, 815, 611, 978
• LCM of 662, 814, 279, 827, 678
• LCM of 501, 523, 835, 389, 607

1. What is the LCM of 884, 782, 363, 324, 971?

Answer: LCM of 884, 782, 363, 324, 971 is 193494987972.

2. How to calculate the LCM of 884, 782, 363, 324, 971?

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 884, 782, 363, 324, 971.

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}.