Given numbers are 538,608,305,670

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

The LCM of 538,608,305,670 is 3342185120.

Find LCM of 538,608,305,670 with Prime Factorization

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

2 x 5 x 269 x 304 x 61 x 67 = 3342185120

Therefore, the lowest common multiple of 538,608,305,670 is 3342185120.

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.

538 x 608 x 305 x 670 = 66843702400

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.

538 : 1, 2, 269, 538

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

305 : 1, 5, 61, 305

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,608,305,670, is 1.

Now, the common factors can be found like this.

538:2x 269

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

305:5x 61

670:2x 5x 67

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 5 = 20

Therefore, the value for common factors is 20.

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 = 66843702400/(1x20)

LCM = 66843702400/20

LCM = 3342185120

Thus, we can understand that the LCM of 538,608,305,670 is 3342185120.

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

• LCM of 498, 940, 709, 816
• LCM of 807, 432, 761, 639
• LCM of 354, 866, 797, 538
• LCM of 626, 385, 404, 999
• LCM of 602, 977, 443, 216

1. What is the LCM of 538, 608, 305, 670?

Answer: LCM of 538, 608, 305, 670 is 3342185120.

2. How to calculate the LCM of 538, 608, 305, 670?

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 538, 608, 305, 670.

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}.