Given numbers are 810,429,748,409

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

The LCM of 810,429,748,409 is 1610731980.

Find LCM of 810,429,748,409 with Prime Factorization

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

2 x 3 x 11 x 135 x 13 x 34 x 409 = 1610731980

Therefore, the lowest common multiple of 810,429,748,409 is 1610731980.

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.

810 x 429 x 748 x 409 = 106308310680

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

429 : 1, 3, 11, 13, 33, 39, 143, 429

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,429,748,409, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

429:3x 11x 13

748:2x 2x 11x 17

409:409

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 106308310680/(1x66)

LCM = 106308310680/66

LCM = 1610731980

Thus, we can understand that the LCM of 810,429,748,409 is 1610731980.

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

• LCM of 853, 118, 808, 786
• LCM of 604, 730, 682, 111
• LCM of 707, 167, 675, 767
• LCM of 105, 347, 109, 951
• LCM of 456, 339, 927, 697

1. What is the LCM of 810, 429, 748, 409?

Answer: LCM of 810, 429, 748, 409 is 1610731980.

2. How to calculate the LCM of 810, 429, 748, 409?

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 810, 429, 748, 409.

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}.