Given numbers are 808,419,940,972,444

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

The LCM of 808,419,940,972,444 is 715321442520.

Find LCM of 808,419,940,972,444 with Prime Factorization

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

2 x 2 x 3 x 202 x 419 x 235 x 81 x 37 = 715321442520

Therefore, the lowest common multiple of 808,419,940,972,444 is 715321442520.

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 419 x 940 x 972 x 444 = 137341716963840

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

419 : 1, 419

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,419,940,972,444, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

419:419

940:2x 2x 5x 47

972:2x 2x 3x 3x 3x 3x 3

444:2x 2x 3x 37

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 137341716963840/(1x192)

LCM = 137341716963840/192

LCM = 715321442520

Thus, we can understand that the LCM of 808,419,940,972,444 is 715321442520.

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

• LCM of 801, 241, 587, 225, 436
• LCM of 925, 762, 877, 517, 228
• LCM of 710, 573, 155, 790, 885
• LCM of 406, 375, 311, 668, 746
• LCM of 189, 486, 343, 258, 319

1. What is the LCM of 808, 419, 940, 972, 444?

Answer: LCM of 808, 419, 940, 972, 444 is 715321442520.

2. How to calculate the LCM of 808, 419, 940, 972, 444?

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, 419, 940, 972, 444.

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}.