Given numbers are 395,746,605,288

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

The LCM of 395,746,605,288 is 5134330080.

Find LCM of 395,746,605,288 with Prime Factorization

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

2 x 5 x 79 x 373 x 121 x 144 = 5134330080

Therefore, the lowest common multiple of 395,746,605,288 is 5134330080.

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.

395 x 746 x 605 x 288 = 51343300800

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.

395 : 1, 5, 79, 395

746 : 1, 2, 373, 746

605 : 1, 5, 11, 55, 121, 605

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,746,605,288, is 1.

Now, the common factors can be found like this.

395:5x 79

746:2x 373

605:5x 11x 11

288:2x 2x 2x 2x 2x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 51343300800/(1x10)

LCM = 51343300800/10

LCM = 5134330080

Thus, we can understand that the LCM of 395,746,605,288 is 5134330080.

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

• LCM of 151, 173, 589, 446
• LCM of 790, 749, 908, 109
• LCM of 495, 385, 878, 997
• LCM of 182, 106, 722, 118
• LCM of 100, 564, 537, 533

1. What is the LCM of 395, 746, 605, 288?

Answer: LCM of 395, 746, 605, 288 is 5134330080.

2. How to calculate the LCM of 395, 746, 605, 288?

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 395, 746, 605, 288.

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}.