Given numbers are 438,204,146,249

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

The LCM of 438,204,146,249 is 1236036.

Find LCM of 438,204,146,249 with Prime Factorization

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

2 x 3 x 73 x 1 x 34 x 1 x 83 = 1236036

Therefore, the lowest common multiple of 438,204,146,249 is 1236036.

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.

438 x 204 x 146 x 249 = 3248302608

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

146 : 1, 2, 73, 146

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,204,146,249, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

204:2x 2x 3x 17

146:2x 73

249:3x 83

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 3x 3x 73 = 2628

Therefore, the value for common factors is 2628.

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 = 3248302608/(1x2628)

LCM = 3248302608/2628

LCM = 1236036

Thus, we can understand that the LCM of 438,204,146,249 is 1236036.

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

• LCM of 671, 583, 263, 466
• LCM of 693, 607, 496, 343
• LCM of 243, 419, 835, 154
• LCM of 996, 361, 256, 861
• LCM of 626, 333, 357, 411

1. What is the LCM of 438, 204, 146, 249?

Answer: LCM of 438, 204, 146, 249 is 1236036.

2. How to calculate the LCM of 438, 204, 146, 249?

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 438, 204, 146, 249.

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}.