Given numbers are 416,542,910,395

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

The LCM of 416,542,910,395 is 311715040.

Find LCM of 416,542,910,395 with Prime Factorization

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

2 x 5 x 13 x 16 x 271 x 7 x 79 = 311715040

Therefore, the lowest common multiple of 416,542,910,395 is 311715040.

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.

416 x 542 x 910 x 395 = 81045910400

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

542 : 1, 2, 271, 542

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,542,910,395, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

542:2x 271

910:2x 5x 7x 13

395:5x 79

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 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 81045910400/(1x260)

LCM = 81045910400/260

LCM = 311715040

Thus, we can understand that the LCM of 416,542,910,395 is 311715040.

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

• LCM of 153, 560, 353, 781
• LCM of 132, 772, 228, 572
• LCM of 612, 860, 862, 793
• LCM of 443, 506, 238, 716
• LCM of 449, 966, 949, 323

1. What is the LCM of 416, 542, 910, 395?

Answer: LCM of 416, 542, 910, 395 is 311715040.

2. How to calculate the LCM of 416, 542, 910, 395?

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 416, 542, 910, 395.

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}.