Given numbers are 230,398,716,579,138

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

The LCM of 230,398,716,579,138 is 9487297140.

Find LCM of 230,398,716,579,138 with Prime Factorization

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

2 x 3 x 23 x 5 x 199 x 358 x 193 x 1 = 9487297140

Therefore, the lowest common multiple of 230,398,716,579,138 is 9487297140.

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 398 x 716 x 579 x 138 = 5236988021280

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

398 : 1, 2, 199, 398

716 : 1, 2, 4, 179, 358, 716

579 : 1, 3, 193, 579

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,398,716,579,138, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

398:2x 199

716:2x 2x 179

579:3x 193

138:2x 3x 23

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 2x 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 5236988021280/(1x552)

LCM = 5236988021280/552

LCM = 9487297140

Thus, we can understand that the LCM of 230,398,716,579,138 is 9487297140.

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

• LCM of 248, 170, 965, 984, 954
• LCM of 756, 415, 321, 405, 980
• LCM of 955, 204, 709, 978, 233
• LCM of 360, 168, 500, 163, 147
• LCM of 563, 271, 820, 603, 284

1. What is the LCM of 230, 398, 716, 579, 138?

Answer: LCM of 230, 398, 716, 579, 138 is 9487297140.

2. How to calculate the LCM of 230, 398, 716, 579, 138?

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, 398, 716, 579, 138.

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}.