Given numbers are 494,341,819

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

The LCM of 494,341,819 is 10612602.

Find LCM of 494,341,819 with Prime Factorization

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

13 x 38 x 341 x 63 = 10612602

Therefore, the lowest common multiple of 494,341,819 is 10612602.

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.

494 x 341 x 819 = 137963826

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

341 : 1, 11, 31, 341

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,341,819, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

341:11x 31

819:3x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 137963826/(1x13)

LCM = 137963826/13

LCM = 10612602

Thus, we can understand that the LCM of 494,341,819 is 10612602.

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

• LCM of 914, 927, 943
• LCM of 325, 532, 834
• LCM of 471, 427, 797
• LCM of 922, 873, 765
• LCM of 783, 147, 815

1. What is the LCM of 494, 341, 819?

Answer: LCM of 494, 341, 819 is 10612602.

2. How to calculate the LCM of 494, 341, 819?

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 494, 341, 819.

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}.