Given numbers are 882,328,502,894,426

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

The LCM of 882,328,502,894,426 is 384088029192.

Find LCM of 882,328,502,894,426 with Prime Factorization

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

2 x 3 x 147 x 164 x 251 x 149 x 71 = 384088029192

Therefore, the lowest common multiple of 882,328,502,894,426 is 384088029192.

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.

882 x 328 x 502 x 894 x 426 = 55308676203648

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

328 : 1, 2, 4, 8, 41, 82, 164, 328

502 : 1, 2, 251, 502

894 : 1, 2, 3, 6, 149, 298, 447, 894

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,328,502,894,426, is 2.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

328:2x 2x 2x 41

502:2x 251

894:2x 3x 149

426:2x 3x 71

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 3 = 72

Therefore, the value for common factors is 72.

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 = 55308676203648/(2x72)

LCM = 55308676203648/144

LCM = 384088029192

Thus, we can understand that the LCM of 882,328,502,894,426 is 384088029192.

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

• LCM of 460, 376, 698, 219, 986
• LCM of 996, 245, 216, 978, 128
• LCM of 669, 524, 800, 653, 457
• LCM of 470, 644, 143, 780, 105
• LCM of 988, 755, 268, 661, 210

1. What is the LCM of 882, 328, 502, 894, 426?

Answer: LCM of 882, 328, 502, 894, 426 is 384088029192.

2. How to calculate the LCM of 882, 328, 502, 894, 426?

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 882, 328, 502, 894, 426.

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}.