Given numbers are 395,982,370,648,810

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

The LCM of 395,982,370,648,810 is 4650025320.

Find LCM of 395,982,370,648,810 with Prime Factorization

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

2 x 3 x 3 x 3 x 3 x 5 x 79 x 491 x 37 x 4 x 1 = 4650025320

Therefore, the lowest common multiple of 395,982,370,648,810 is 4650025320.

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 982 x 370 x 648 x 810 = 75330410184000

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

982 : 1, 2, 491, 982

370 : 1, 2, 5, 10, 37, 74, 185, 370

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,982,370,648,810, is 1.

Now, the common factors can be found like this.

395:5x 79

982:2x 491

370:2x 5x 37

648:2x 2x 2x 3x 3x 3x 3

810:2x 3x 3x 3x 3x 5

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 3x 3x 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 75330410184000/(1x16200)

LCM = 75330410184000/16200

LCM = 4650025320

Thus, we can understand that the LCM of 395,982,370,648,810 is 4650025320.

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

• LCM of 753, 889, 686, 545, 116
• LCM of 990, 142, 772, 844, 941
• LCM of 363, 199, 116, 920, 240
• LCM of 472, 336, 129, 554, 294
• LCM of 635, 767, 205, 159, 877

1. What is the LCM of 395, 982, 370, 648, 810?

Answer: LCM of 395, 982, 370, 648, 810 is 4650025320.

2. How to calculate the LCM of 395, 982, 370, 648, 810?

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, 982, 370, 648, 810.

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}.