Given numbers are 608,135,635,685,319

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

The LCM of 608,135,635,685,319 is 455567064480.

Find LCM of 608,135,635,685,319 with Prime Factorization

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

5 x 608 x 27 x 127 x 137 x 319 = 455567064480

Therefore, the lowest common multiple of 608,135,635,685,319 is 455567064480.

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.

608 x 135 x 635 x 685 x 319 = 11389176612000

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

135 : 1, 3, 5, 9, 15, 27, 45, 135

635 : 1, 5, 127, 635

685 : 1, 5, 137, 685

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,135,635,685,319, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

135:3x 3x 3x 5

635:5x 127

685:5x 137

319:11x 29

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 11389176612000/(1x25)

LCM = 11389176612000/25

LCM = 455567064480

Thus, we can understand that the LCM of 608,135,635,685,319 is 455567064480.

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

• LCM of 256, 655, 198, 174, 305
• LCM of 684, 108, 221, 435, 474
• LCM of 338, 176, 623, 336, 595
• LCM of 784, 254, 885, 489, 325
• LCM of 323, 200, 507, 784, 910

1. What is the LCM of 608, 135, 635, 685, 319?

Answer: LCM of 608, 135, 635, 685, 319 is 455567064480.

2. How to calculate the LCM of 608, 135, 635, 685, 319?

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 608, 135, 635, 685, 319.

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}.