Given numbers are 259,312,213,365

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

The LCM of 259,312,213,365 is 2094139320.

Find LCM of 259,312,213,365 with Prime Factorization

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

3 x 259 x 104 x 71 x 365 = 2094139320

Therefore, the lowest common multiple of 259,312,213,365 is 2094139320.

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.

259 x 312 x 213 x 365 = 6282417960

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.

259 : 1, 7, 37, 259

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

213 : 1, 3, 71, 213

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,312,213,365, is 1.

Now, the common factors can be found like this.

259:7x 37

312:2x 2x 2x 3x 13

213:3x 71

365:5x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6282417960/(1x3)

LCM = 6282417960/3

LCM = 2094139320

Thus, we can understand that the LCM of 259,312,213,365 is 2094139320.

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

• LCM of 735, 822, 415, 936
• LCM of 810, 339, 106, 374
• LCM of 790, 165, 521, 938
• LCM of 219, 324, 789, 168
• LCM of 191, 642, 712, 583

1. What is the LCM of 259, 312, 213, 365?

Answer: LCM of 259, 312, 213, 365 is 2094139320.

2. How to calculate the LCM of 259, 312, 213, 365?

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 259, 312, 213, 365.

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}.