Given numbers are 814,703,869,470,440

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

The LCM of 814,703,869,470,440 is 1148505160.

Find LCM of 814,703,869,470,440 with Prime Factorization

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

2 x 5 x 11 x 37 x 1 x 19 x 79 x 47 x 4 = 1148505160

Therefore, the lowest common multiple of 814,703,869,470,440 is 1148505160.

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.

814 x 703 x 869 x 470 x 440 = 102837152026400

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

703 : 1, 19, 37, 703

869 : 1, 11, 79, 869

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,703,869,470,440, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

703:19x 37

869:11x 79

470:2x 5x 47

440:2x 2x 2x 5x 11

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 5x 11x 11x 37 = 89540

Therefore, the value for common factors is 89540.

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 = 102837152026400/(1x89540)

LCM = 102837152026400/89540

LCM = 1148505160

Thus, we can understand that the LCM of 814,703,869,470,440 is 1148505160.

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

• LCM of 130, 814, 941, 357, 606
• LCM of 523, 617, 668, 256, 443
• LCM of 704, 274, 357, 901, 150
• LCM of 748, 114, 714, 227, 427
• LCM of 188, 287, 727, 755, 738

1. What is the LCM of 814, 703, 869, 470, 440?

Answer: LCM of 814, 703, 869, 470, 440 is 1148505160.

2. How to calculate the LCM of 814, 703, 869, 470, 440?

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 814, 703, 869, 470, 440.

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}.