Given numbers are 878,312,474,882,213

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

The LCM of 878,312,474,882,213 is 112933266264.

Find LCM of 878,312,474,882,213 with Prime Factorization

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

2 x 3 x 439 x 52 x 79 x 147 x 71 = 112933266264

Therefore, the lowest common multiple of 878,312,474,882,213 is 112933266264.

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.

878 x 312 x 474 x 882 x 213 = 24393585513024

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.

878 : 1, 2, 439, 878

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,312,474,882,213, is 1.

Now, the common factors can be found like this.

878:2x 439

312:2x 2x 2x 3x 13

474:2x 3x 79

882:2x 3x 3x 7x 7

213:3x 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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 24393585513024/(1x216)

LCM = 24393585513024/216

LCM = 112933266264

Thus, we can understand that the LCM of 878,312,474,882,213 is 112933266264.

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

• LCM of 973, 724, 493, 847, 383
• LCM of 607, 454, 152, 187, 114
• LCM of 913, 832, 639, 404, 744
• LCM of 380, 828, 990, 975, 745
• LCM of 660, 129, 139, 631, 405

1. What is the LCM of 878, 312, 474, 882, 213?

Answer: LCM of 878, 312, 474, 882, 213 is 112933266264.

2. How to calculate the LCM of 878, 312, 474, 882, 213?

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 878, 312, 474, 882, 213.

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}.