Given numbers are 230,136,379,442

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

The LCM of 230,136,379,442 is 77058280.

Find LCM of 230,136,379,442 with Prime Factorization

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

2 x 17 x 115 x 4 x 379 x 13 = 77058280

Therefore, the lowest common multiple of 230,136,379,442 is 77058280.

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.

230 x 136 x 379 x 442 = 5239963040

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.

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

379 : 1, 379

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,136,379,442, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

136:2x 2x 2x 17

379:379

442:2x 13x 17

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

2x 2x 17 = 68

Therefore, the value for common factors is 68.

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 = 5239963040/(1x68)

LCM = 5239963040/68

LCM = 77058280

Thus, we can understand that the LCM of 230,136,379,442 is 77058280.

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

• LCM of 237, 154, 227, 121
• LCM of 424, 669, 793, 131
• LCM of 389, 366, 673, 826
• LCM of 366, 309, 462, 716
• LCM of 141, 327, 731, 246

1. What is the LCM of 230, 136, 379, 442?

Answer: LCM of 230, 136, 379, 442 is 77058280.

2. How to calculate the LCM of 230, 136, 379, 442?

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 230, 136, 379, 442.

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}.