Given numbers are 747,546,106,621,590

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

The LCM of 747,546,106,621,590 is 146669214510.

Find LCM of 747,546,106,621,590 with Prime Factorization

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

2 x 3 x 3 x 83 x 91 x 53 x 69 x 295 = 146669214510

Therefore, the lowest common multiple of 747,546,106,621,590 is 146669214510.

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.

747 x 546 x 106 x 621 x 590 = 15840275167080

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.

747 : 1, 3, 9, 83, 249, 747

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

106 : 1, 2, 53, 106

621 : 1, 3, 9, 23, 27, 69, 207, 621

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,546,106,621,590, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

546:2x 3x 7x 13

106:2x 53

621:3x 3x 3x 23

590:2x 5x 59

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 15840275167080/(1x108)

LCM = 15840275167080/108

LCM = 146669214510

Thus, we can understand that the LCM of 747,546,106,621,590 is 146669214510.

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

• LCM of 641, 485, 721, 477, 144
• LCM of 177, 676, 626, 819, 766
• LCM of 178, 945, 921, 624, 555
• LCM of 751, 727, 820, 911, 508
• LCM of 458, 145, 837, 687, 803

1. What is the LCM of 747, 546, 106, 621, 590?

Answer: LCM of 747, 546, 106, 621, 590 is 146669214510.

2. How to calculate the LCM of 747, 546, 106, 621, 590?

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 747, 546, 106, 621, 590.

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}.