Given numbers are 808,756,490,470

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

The LCM of 808,756,490,470 is 251211240.

Find LCM of 808,756,490,470 with Prime Factorization

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

2 x 2 x 5 x 7 x 202 x 27 x 7 x 47 = 251211240

Therefore, the lowest common multiple of 808,756,490,470 is 251211240.

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.

808 x 756 x 490 x 470 = 140678294400

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,756,490,470, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

756:2x 2x 3x 3x 3x 7

490:2x 5x 7x 7

470:2x 5x 47

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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 140678294400/(2x280)

LCM = 140678294400/560

LCM = 251211240

Thus, we can understand that the LCM of 808,756,490,470 is 251211240.

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

• LCM of 252, 854, 192, 819
• LCM of 672, 501, 815, 287
• LCM of 454, 263, 152, 154
• LCM of 457, 662, 789, 943
• LCM of 709, 950, 432, 930

1. What is the LCM of 808, 756, 490, 470?

Answer: LCM of 808, 756, 490, 470 is 251211240.

2. How to calculate the LCM of 808, 756, 490, 470?

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 808, 756, 490, 470.

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}.