Given numbers are 506,431,460

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

The LCM of 506,431,460 is 2180860.

Find LCM of 506,431,460 with Prime Factorization

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

2 x 23 x 11 x 431 x 10 = 2180860

Therefore, the lowest common multiple of 506,431,460 is 2180860.

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 431 x 460 = 100319560

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

431 : 1, 431

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,431,460, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

431:431

460:2x 2x 5x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 100319560/(1x46)

LCM = 100319560/46

LCM = 2180860

Thus, we can understand that the LCM of 506,431,460 is 2180860.

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

• LCM of 666, 862, 842
• LCM of 192, 150, 807
• LCM of 105, 715, 734
• LCM of 791, 851, 242
• LCM of 926, 813, 204

1. What is the LCM of 506, 431, 460?

Answer: LCM of 506, 431, 460 is 2180860.

2. How to calculate the LCM of 506, 431, 460?

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, 431, 460.

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}.