Given numbers are 542,460,172,486,791

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

The LCM of 542,460,172,486,791 is 1030334720940.

Find LCM of 542,460,172,486,791 with Prime Factorization

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

2 x 2 x 271 x 115 x 43 x 243 x 791 = 1030334720940

Therefore, the lowest common multiple of 542,460,172,486,791 is 1030334720940.

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.

542 x 460 x 172 x 486 x 791 = 16485355535040

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.

542 : 1, 2, 271, 542

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

172 : 1, 2, 4, 43, 86, 172

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,460,172,486,791, is 1.

Now, the common factors can be found like this.

542:2x 271

460:2x 2x 5x 23

172:2x 2x 43

486:2x 3x 3x 3x 3x 3

791:7x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 16485355535040/(1x16)

LCM = 16485355535040/16

LCM = 1030334720940

Thus, we can understand that the LCM of 542,460,172,486,791 is 1030334720940.

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

• LCM of 750, 139, 157, 270, 525
• LCM of 784, 885, 140, 706, 917
• LCM of 965, 878, 667, 996, 450
• LCM of 253, 977, 214, 110, 778
• LCM of 867, 111, 350, 167, 812

1. What is the LCM of 542, 460, 172, 486, 791?

Answer: LCM of 542, 460, 172, 486, 791 is 1030334720940.

2. How to calculate the LCM of 542, 460, 172, 486, 791?

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 542, 460, 172, 486, 791.

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}.