Given numbers are 312,642,921,235

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

The LCM of 312,642,921,235 is 2408488680.

Find LCM of 312,642,921,235 with Prime Factorization

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

2 x 3 x 52 x 107 x 307 x 235 = 2408488680

Therefore, the lowest common multiple of 312,642,921,235 is 2408488680.

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.

312 x 642 x 921 x 235 = 43352796240

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.

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

921 : 1, 3, 307, 921

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,642,921,235, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

642:2x 3x 107

921:3x 307

235:5x 47

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 43352796240/(1x18)

LCM = 43352796240/18

LCM = 2408488680

Thus, we can understand that the LCM of 312,642,921,235 is 2408488680.

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

• LCM of 271, 355, 186, 645
• LCM of 903, 732, 542, 455
• LCM of 259, 773, 760, 150
• LCM of 412, 972, 495, 745
• LCM of 374, 566, 563, 155

1. What is the LCM of 312, 642, 921, 235?

Answer: LCM of 312, 642, 921, 235 is 2408488680.

2. How to calculate the LCM of 312, 642, 921, 235?

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 312, 642, 921, 235.

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}.