Given numbers are 808,138,460,342

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

The LCM of 808,138,460,342 is 15889320.

Find LCM of 808,138,460,342 with Prime Factorization

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

2 x 2 x 3 x 23 x 202 x 1 x 5 x 57 = 15889320

Therefore, the lowest common multiple of 808,138,460,342 is 15889320.

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.

808 x 138 x 460 x 342 = 17541809280

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

138 : 1, 2, 3, 6, 23, 46, 69, 138

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,138,460,342, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

138:2x 3x 23

460:2x 2x 5x 23

342:2x 3x 3x 19

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 2x 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 17541809280/(2x552)

LCM = 17541809280/1104

LCM = 15889320

Thus, we can understand that the LCM of 808,138,460,342 is 15889320.

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

• LCM of 688, 425, 595, 656
• LCM of 301, 926, 332, 300
• LCM of 373, 836, 669, 559
• LCM of 388, 835, 157, 875
• LCM of 884, 919, 685, 805

1. What is the LCM of 808, 138, 460, 342?

Answer: LCM of 808, 138, 460, 342 is 15889320.

2. How to calculate the LCM of 808, 138, 460, 342?

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 808, 138, 460, 342.

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}.