Given numbers are 498,614,313,626

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

The LCM of 498,614,313,626 is 47853318.

Find LCM of 498,614,313,626 with Prime Factorization

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

2 x 313 x 249 x 307 x 1 x 1 = 47853318

Therefore, the lowest common multiple of 498,614,313,626 is 47853318.

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.

498 x 614 x 313 x 626 = 59912354136

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

614 : 1, 2, 307, 614

313 : 1, 313

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,614,313,626, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

614:2x 307

313:313

626:2x 313

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 313 = 1252

Therefore, the value for common factors is 1252.

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 = 59912354136/(1x1252)

LCM = 59912354136/1252

LCM = 47853318

Thus, we can understand that the LCM of 498,614,313,626 is 47853318.

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

• LCM of 300, 876, 188, 753
• LCM of 275, 592, 382, 773
• LCM of 126, 219, 960, 905
• LCM of 927, 793, 110, 768
• LCM of 726, 613, 400, 359

1. What is the LCM of 498, 614, 313, 626?

Answer: LCM of 498, 614, 313, 626 is 47853318.

2. How to calculate the LCM of 498, 614, 313, 626?

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 498, 614, 313, 626.

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}.