Given numbers are 905,272,331,438

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

The LCM of 905,272,331,438 is 17843892240.

Find LCM of 905,272,331,438 with Prime Factorization

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

2 x 905 x 136 x 331 x 219 = 17843892240

Therefore, the lowest common multiple of 905,272,331,438 is 17843892240.

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.

905 x 272 x 331 x 438 = 35687784480

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.

905 : 1, 5, 181, 905

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

331 : 1, 331

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,272,331,438, is 1.

Now, the common factors can be found like this.

905:5x 181

272:2x 2x 2x 2x 17

331:331

438:2x 3x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 35687784480/(1x2)

LCM = 35687784480/2

LCM = 17843892240

Thus, we can understand that the LCM of 905,272,331,438 is 17843892240.

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

• LCM of 573, 341, 442, 497
• LCM of 117, 790, 767, 191
• LCM of 162, 622, 200, 800
• LCM of 126, 358, 459, 974
• LCM of 429, 916, 626, 843

1. What is the LCM of 905, 272, 331, 438?

Answer: LCM of 905, 272, 331, 438 is 17843892240.

2. How to calculate the LCM of 905, 272, 331, 438?

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 905, 272, 331, 438.

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}.