Given numbers are 614,142,313,609

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

The LCM of 614,142,313,609 is 8309757498.

Find LCM of 614,142,313,609 with Prime Factorization

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

2 x 307 x 71 x 313 x 609 = 8309757498

Therefore, the lowest common multiple of 614,142,313,609 is 8309757498.

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.

614 x 142 x 313 x 609 = 16619514996

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.

614 : 1, 2, 307, 614

142 : 1, 2, 71, 142

313 : 1, 313

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,142,313,609, is 1.

Now, the common factors can be found like this.

614:2x 307

142:2x 71

313:313

609:3x 7x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16619514996/(1x2)

LCM = 16619514996/2

LCM = 8309757498

Thus, we can understand that the LCM of 614,142,313,609 is 8309757498.

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

• LCM of 814, 822, 566, 234
• LCM of 910, 677, 602, 933
• LCM of 526, 377, 325, 221
• LCM of 644, 297, 365, 462
• LCM of 429, 797, 299, 846

1. What is the LCM of 614, 142, 313, 609?

Answer: LCM of 614, 142, 313, 609 is 8309757498.

2. How to calculate the LCM of 614, 142, 313, 609?

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 614, 142, 313, 609.

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}.