Given numbers are 312,380,158,838

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

The LCM of 312,380,158,838 is 981113640.

Find LCM of 312,380,158,838 with Prime Factorization

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

2 x 2 x 78 x 95 x 79 x 419 = 981113640

Therefore, the lowest common multiple of 312,380,158,838 is 981113640.

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 380 x 158 x 838 = 15697818240

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

158 : 1, 2, 79, 158

838 : 1, 2, 419, 838

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,380,158,838, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

380:2x 2x 5x 19

158:2x 79

838:2x 419

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15697818240/(2x8)

LCM = 15697818240/16

LCM = 981113640

Thus, we can understand that the LCM of 312,380,158,838 is 981113640.

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

• LCM of 410, 413, 406, 105
• LCM of 510, 250, 105, 294
• LCM of 868, 355, 922, 805
• LCM of 266, 756, 189, 569
• LCM of 529, 156, 201, 646

1. What is the LCM of 312, 380, 158, 838?

Answer: LCM of 312, 380, 158, 838 is 981113640.

2. How to calculate the LCM of 312, 380, 158, 838?

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, 380, 158, 838.

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}.