Given numbers are 342,242,419,428

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

The LCM of 342,242,419,428 is 3710558412.

Find LCM of 342,242,419,428 with Prime Factorization

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

2 x 171 x 121 x 419 x 214 = 3710558412

Therefore, the lowest common multiple of 342,242,419,428 is 3710558412.

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.

342 x 242 x 419 x 428 = 14842233648

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

419 : 1, 419

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,242,419,428, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

242:2x 11x 11

419:419

428:2x 2x 107

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 = 14842233648/(1x4)

LCM = 14842233648/4

LCM = 3710558412

Thus, we can understand that the LCM of 342,242,419,428 is 3710558412.

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

• LCM of 807, 297, 628, 853
• LCM of 925, 600, 824, 685
• LCM of 732, 204, 820, 810
• LCM of 338, 188, 444, 875
• LCM of 666, 817, 118, 392

1. What is the LCM of 342, 242, 419, 428?

Answer: LCM of 342, 242, 419, 428 is 3710558412.

2. How to calculate the LCM of 342, 242, 419, 428?

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 342, 242, 419, 428.

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}.