Given numbers are 838,412,493,338

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

The LCM of 838,412,493,338 is 14382847076.

Find LCM of 838,412,493,338 with Prime Factorization

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

2 x 419 x 206 x 493 x 169 = 14382847076

Therefore, the lowest common multiple of 838,412,493,338 is 14382847076.

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.

838 x 412 x 493 x 338 = 57531388304

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.

838 : 1, 2, 419, 838

412 : 1, 2, 4, 103, 206, 412

493 : 1, 17, 29, 493

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,412,493,338, is 1.

Now, the common factors can be found like this.

838:2x 419

412:2x 2x 103

493:17x 29

338:2x 13x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57531388304/(1x4)

LCM = 57531388304/4

LCM = 14382847076

Thus, we can understand that the LCM of 838,412,493,338 is 14382847076.

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

• LCM of 294, 483, 633, 931
• LCM of 102, 878, 702, 841
• LCM of 611, 147, 804, 104
• LCM of 578, 678, 528, 687
• LCM of 954, 922, 919, 443

1. What is the LCM of 838, 412, 493, 338?

Answer: LCM of 838, 412, 493, 338 is 14382847076.

2. How to calculate the LCM of 838, 412, 493, 338?

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 838, 412, 493, 338.

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}.