Given numbers are 429,242,715,409

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

The LCM of 429,242,715,409 is 19300710.

Find LCM of 429,242,715,409 with Prime Factorization

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

11 x 13 x 3 x 22 x 5 x 409 = 19300710

Therefore, the lowest common multiple of 429,242,715,409 is 19300710.

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.

429 x 242 x 715 x 409 = 30360016830

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.

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

242 : 1, 2, 11, 22, 121, 242

715 : 1, 5, 11, 13, 55, 65, 143, 715

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,242,715,409, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

242:2x 11x 11

715:5x 11x 13

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.

11x 11x 13 = 1573

Therefore, the value for common factors is 1573.

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 = 30360016830/(1x1573)

LCM = 30360016830/1573

LCM = 19300710

Thus, we can understand that the LCM of 429,242,715,409 is 19300710.

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

• LCM of 713, 548, 340, 800
• LCM of 767, 815, 857, 827
• LCM of 860, 676, 961, 540
• LCM of 312, 734, 223, 879
• LCM of 506, 976, 817, 180

1. What is the LCM of 429, 242, 715, 409?

Answer: LCM of 429, 242, 715, 409 is 19300710.

2. How to calculate the LCM of 429, 242, 715, 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 429, 242, 715, 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}.