Given numbers are 814,341,722,338,190

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

The LCM of 814,341,722,338,190 is 7697505530.

Find LCM of 814,341,722,338,190 with Prime Factorization

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

2 x 11 x 19 x 37 x 31 x 19 x 169 x 5 = 7697505530

Therefore, the lowest common multiple of 814,341,722,338,190 is 7697505530.

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 341 x 722 x 338 x 190 = 12870229246160

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

341 : 1, 11, 31, 341

722 : 1, 2, 19, 38, 361, 722

338 : 1, 2, 13, 26, 169, 338

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,341,722,338,190, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

341:11x 31

722:2x 19x 19

338:2x 13x 13

190:2x 5x 19

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 11x 19 = 1672

Therefore, the value for common factors is 1672.

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 = 12870229246160/(1x1672)

LCM = 12870229246160/1672

LCM = 7697505530

Thus, we can understand that the LCM of 814,341,722,338,190 is 7697505530.

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

• LCM of 620, 505, 688, 258, 238
• LCM of 766, 396, 313, 257, 564
• LCM of 166, 562, 882, 782, 112
• LCM of 645, 665, 210, 715, 823
• LCM of 679, 615, 295, 665, 596

1. What is the LCM of 814, 341, 722, 338, 190?

Answer: LCM of 814, 341, 722, 338, 190 is 7697505530.

2. How to calculate the LCM of 814, 341, 722, 338, 190?

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, 341, 722, 338, 190.

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}.