Given numbers are 537,446,546,828,719

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

The LCM of 537,446,546,828,719 is 2162511937404.

Find LCM of 537,446,546,828,719 with Prime Factorization

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

2 x 3 x 179 x 223 x 91 x 138 x 719 = 2162511937404

Therefore, the lowest common multiple of 537,446,546,828,719 is 2162511937404.

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.

537 x 446 x 546 x 828 x 719 = 77850429746544

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.

537 : 1, 3, 179, 537

446 : 1, 2, 223, 446

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,446,546,828,719, is 1.

Now, the common factors can be found like this.

537:3x 179

446:2x 223

546:2x 3x 7x 13

828:2x 2x 3x 3x 23

719:719

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 77850429746544/(1x36)

LCM = 77850429746544/36

LCM = 2162511937404

Thus, we can understand that the LCM of 537,446,546,828,719 is 2162511937404.

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

• LCM of 621, 272, 128, 622, 714
• LCM of 112, 714, 387, 325, 760
• LCM of 720, 744, 791, 111, 693
• LCM of 796, 470, 572, 762, 466
• LCM of 969, 876, 168, 954, 900

1. What is the LCM of 537, 446, 546, 828, 719?

Answer: LCM of 537, 446, 546, 828, 719 is 2162511937404.

2. How to calculate the LCM of 537, 446, 546, 828, 719?

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 537, 446, 546, 828, 719.

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}.