Given numbers are 849,675,213,138

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

The LCM of 849,675,213,138 is 623887650.

Find LCM of 849,675,213,138 with Prime Factorization

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

3 x 283 x 225 x 71 x 46 = 623887650

Therefore, the lowest common multiple of 849,675,213,138 is 623887650.

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.

849 x 675 x 213 x 138 = 16844966550

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.

849 : 1, 3, 283, 849

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

213 : 1, 3, 71, 213

138 : 1, 2, 3, 6, 23, 46, 69, 138

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,675,213,138, is 3.

Now, the common factors can be found like this.

849:3x 283

675:3x 3x 3x 5x 5

213:3x 71

138:2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 16844966550/(3x9)

LCM = 16844966550/27

LCM = 623887650

Thus, we can understand that the LCM of 849,675,213,138 is 623887650.

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

• LCM of 134, 848, 488, 648
• LCM of 387, 685, 907, 621
• LCM of 605, 206, 738, 378
• LCM of 856, 335, 112, 297
• LCM of 867, 919, 705, 706

1. What is the LCM of 849, 675, 213, 138?

Answer: LCM of 849, 675, 213, 138 is 623887650.

2. How to calculate the LCM of 849, 675, 213, 138?

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 849, 675, 213, 138.

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}.