Given numbers are 901,374,561,311

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

The LCM of 901,374,561,311 is 18493926.

Find LCM of 901,374,561,311 with Prime Factorization

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

11 x 17 x 53 x 2 x 3 x 311 = 18493926

Therefore, the lowest common multiple of 901,374,561,311 is 18493926.

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.

901 x 374 x 561 x 311 = 58792190754

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.

901 : 1, 17, 53, 901

374 : 1, 2, 11, 17, 22, 34, 187, 374

561 : 1, 3, 11, 17, 33, 51, 187, 561

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,374,561,311, is 1.

Now, the common factors can be found like this.

901:17x 53

374:2x 11x 17

561:3x 11x 17

311:311

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

11x 17x 17 = 3179

Therefore, the value for common factors is 3179.

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 = 58792190754/(1x3179)

LCM = 58792190754/3179

LCM = 18493926

Thus, we can understand that the LCM of 901,374,561,311 is 18493926.

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

• LCM of 188, 297, 553, 499
• LCM of 932, 429, 194, 485
• LCM of 416, 989, 172, 895
• LCM of 691, 429, 366, 387
• LCM of 300, 281, 397, 333

1. What is the LCM of 901, 374, 561, 311?

Answer: LCM of 901, 374, 561, 311 is 18493926.

2. How to calculate the LCM of 901, 374, 561, 311?

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 901, 374, 561, 311.

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}.