Given numbers are 231,590,497,382

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

The LCM of 231,590,497,382 is 1848228690.

Find LCM of 231,590,497,382 with Prime Factorization

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

2 x 7 x 33 x 295 x 71 x 191 = 1848228690

Therefore, the lowest common multiple of 231,590,497,382 is 1848228690.

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.

231 x 590 x 497 x 382 = 25875201660

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

590 : 1, 2, 5, 10, 59, 118, 295, 590

497 : 1, 7, 71, 497

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,590,497,382, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

590:2x 5x 59

497:7x 71

382:2x 191

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 25875201660/(1x14)

LCM = 25875201660/14

LCM = 1848228690

Thus, we can understand that the LCM of 231,590,497,382 is 1848228690.

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

• LCM of 394, 947, 672, 675
• LCM of 188, 841, 681, 626
• LCM of 802, 375, 806, 499
• LCM of 282, 433, 219, 508
• LCM of 408, 978, 224, 210

1. What is the LCM of 231, 590, 497, 382?

Answer: LCM of 231, 590, 497, 382 is 1848228690.

2. How to calculate the LCM of 231, 590, 497, 382?

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 231, 590, 497, 382.

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}.