Given numbers are 342,538,230,724

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

The LCM of 342,538,230,724 is 3829876740.

Find LCM of 342,538,230,724 with Prime Factorization

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

2 x 171 x 269 x 115 x 362 = 3829876740

Therefore, the lowest common multiple of 342,538,230,724 is 3829876740.

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 538 x 230 x 724 = 30639013920

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

538 : 1, 2, 269, 538

230 : 1, 2, 5, 10, 23, 46, 115, 230

724 : 1, 2, 4, 181, 362, 724

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,538,230,724, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

538:2x 269

230:2x 5x 23

724:2x 2x 181

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 = 30639013920/(2x4)

LCM = 30639013920/8

LCM = 3829876740

Thus, we can understand that the LCM of 342,538,230,724 is 3829876740.

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

• LCM of 108, 706, 661, 836
• LCM of 977, 756, 837, 584
• LCM of 220, 436, 718, 761
• LCM of 784, 487, 796, 380
• LCM of 209, 397, 313, 175

1. What is the LCM of 342, 538, 230, 724?

Answer: LCM of 342, 538, 230, 724 is 3829876740.

2. How to calculate the LCM of 342, 538, 230, 724?

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, 538, 230, 724.

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}.