Given numbers are 506,694,407,331

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

The LCM of 506,694,407,331 is 2150352754.

Find LCM of 506,694,407,331 with Prime Factorization

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

2 x 11 x 23 x 347 x 37 x 331 = 2150352754

Therefore, the lowest common multiple of 506,694,407,331 is 2150352754.

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 694 x 407 x 331 = 47307760588

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

694 : 1, 2, 347, 694

407 : 1, 11, 37, 407

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,694,407,331, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

694:2x 347

407:11x 37

331:331

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 47307760588/(1x22)

LCM = 47307760588/22

LCM = 2150352754

Thus, we can understand that the LCM of 506,694,407,331 is 2150352754.

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

• LCM of 879, 147, 603, 567
• LCM of 342, 575, 484, 795
• LCM of 338, 101, 744, 617
• LCM of 132, 367, 643, 532
• LCM of 512, 979, 919, 543

1. What is the LCM of 506, 694, 407, 331?

Answer: LCM of 506, 694, 407, 331 is 2150352754.

2. How to calculate the LCM of 506, 694, 407, 331?

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, 694, 407, 331.

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}.