Given numbers are 460,424,167,920

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

The LCM of 460,424,167,920 is 8142920.

Find LCM of 460,424,167,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 53 x 167 x 1 = 8142920

Therefore, the lowest common multiple of 460,424,167,920 is 8142920.

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.

460 x 424 x 167 x 920 = 29965945600

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.

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

167 : 1, 167

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,424,167,920, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

424:2x 2x 2x 53

167:167

920:2x 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 2x 2x 2x 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 29965945600/(1x3680)

LCM = 29965945600/3680

LCM = 8142920

Thus, we can understand that the LCM of 460,424,167,920 is 8142920.

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

• LCM of 481, 780, 604, 507
• LCM of 769, 165, 772, 341
• LCM of 788, 808, 794, 876
• LCM of 547, 674, 506, 736
• LCM of 898, 465, 123, 403

1. What is the LCM of 460, 424, 167, 920?

Answer: LCM of 460, 424, 167, 920 is 8142920.

2. How to calculate the LCM of 460, 424, 167, 920?

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 460, 424, 167, 920.

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}.