Given numbers are 428,429,221,394

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

The LCM of 428,429,221,394 is 614916588.

Find LCM of 428,429,221,394 with Prime Factorization

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

2 x 13 x 214 x 33 x 17 x 197 = 614916588

Therefore, the lowest common multiple of 428,429,221,394 is 614916588.

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.

428 x 429 x 221 x 394 = 15987831288

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.

428 : 1, 2, 4, 107, 214, 428

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

221 : 1, 13, 17, 221

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,429,221,394, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

429:3x 11x 13

221:13x 17

394:2x 197

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 15987831288/(1x26)

LCM = 15987831288/26

LCM = 614916588

Thus, we can understand that the LCM of 428,429,221,394 is 614916588.

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

• LCM of 908, 829, 476, 141
• LCM of 822, 499, 375, 662
• LCM of 875, 579, 409, 878
• LCM of 434, 320, 781, 373
• LCM of 406, 872, 526, 770

1. What is the LCM of 428, 429, 221, 394?

Answer: LCM of 428, 429, 221, 394 is 614916588.

2. How to calculate the LCM of 428, 429, 221, 394?

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 428, 429, 221, 394.

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}.