Given numbers are 506,319,627,367

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

The LCM of 506,319,627,367 is 306965406.

Find LCM of 506,319,627,367 with Prime Factorization

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

11 x 46 x 29 x 57 x 367 = 306965406

Therefore, the lowest common multiple of 506,319,627,367 is 306965406.

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.

506 x 319 x 627 x 367 = 37142814126

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

319 : 1, 11, 29, 319

627 : 1, 3, 11, 19, 33, 57, 209, 627

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,319,627,367, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

319:11x 29

627:3x 11x 19

367:367

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 37142814126/(1x121)

LCM = 37142814126/121

LCM = 306965406

Thus, we can understand that the LCM of 506,319,627,367 is 306965406.

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

• LCM of 671, 558, 205, 921
• LCM of 784, 485, 939, 290
• LCM of 108, 421, 860, 855
• LCM of 590, 457, 188, 996
• LCM of 984, 766, 567, 258

1. What is the LCM of 506, 319, 627, 367?

Answer: LCM of 506, 319, 627, 367 is 306965406.

2. How to calculate the LCM of 506, 319, 627, 367?

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 506, 319, 627, 367.

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}.