Given numbers are 428,382,829,438

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

The LCM of 428,382,829,438 is 14841431148.

Find LCM of 428,382,829,438 with Prime Factorization

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

2 x 214 x 191 x 829 x 219 = 14841431148

Therefore, the lowest common multiple of 428,382,829,438 is 14841431148.

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 382 x 829 x 438 = 59365724592

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

382 : 1, 2, 191, 382

829 : 1, 829

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,382,829,438, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

382:2x 191

829:829

438:2x 3x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 59365724592/(1x4)

LCM = 59365724592/4

LCM = 14841431148

Thus, we can understand that the LCM of 428,382,829,438 is 14841431148.

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

• LCM of 260, 106, 589, 903
• LCM of 103, 152, 287, 114
• LCM of 338, 685, 870, 627
• LCM of 496, 546, 688, 563
• LCM of 132, 786, 201, 170

1. What is the LCM of 428, 382, 829, 438?

Answer: LCM of 428, 382, 829, 438 is 14841431148.

2. How to calculate the LCM of 428, 382, 829, 438?

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, 382, 829, 438.

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}.