Given numbers are 395,248,470,864

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

The LCM of 395,248,470,864 is 497244960.

Find LCM of 395,248,470,864 with Prime Factorization

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

2 x 2 x 2 x 5 x 79 x 31 x 47 x 108 = 497244960

Therefore, the lowest common multiple of 395,248,470,864 is 497244960.

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 248 x 470 x 864 = 39779596800

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

470 : 1, 2, 5, 10, 47, 94, 235, 470

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,248,470,864, is 1.

Now, the common factors can be found like this.

395:5x 79

248:2x 2x 2x 31

470:2x 5x 47

864:2x 2x 2x 2x 2x 3x 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 2x 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 39779596800/(1x80)

LCM = 39779596800/80

LCM = 497244960

Thus, we can understand that the LCM of 395,248,470,864 is 497244960.

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

• LCM of 624, 686, 122, 639
• LCM of 824, 431, 452, 200
• LCM of 526, 799, 892, 152
• LCM of 318, 138, 725, 820
• LCM of 222, 812, 144, 610

1. What is the LCM of 395, 248, 470, 864?

Answer: LCM of 395, 248, 470, 864 is 497244960.

2. How to calculate the LCM of 395, 248, 470, 864?

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, 248, 470, 864.

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}.