Given numbers are 463,763,790,521,342

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

The LCM of 463,763,790,521,342 is 24863739898410.

Find LCM of 463,763,790,521,342 with Prime Factorization

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

2 x 463 x 763 x 395 x 521 x 171 = 24863739898410

Therefore, the lowest common multiple of 463,763,790,521,342 is 24863739898410.

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.

463 x 763 x 790 x 521 x 342 = 49727479796820

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.

463 : 1, 463

763 : 1, 7, 109, 763

790 : 1, 2, 5, 10, 79, 158, 395, 790

521 : 1, 521

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,763,790,521,342, is 1.

Now, the common factors can be found like this.

463:463

763:7x 109

790:2x 5x 79

521:521

342:2x 3x 3x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 49727479796820/(1x2)

LCM = 49727479796820/2

LCM = 24863739898410

Thus, we can understand that the LCM of 463,763,790,521,342 is 24863739898410.

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

• LCM of 108, 171, 130, 539, 498
• LCM of 392, 669, 209, 499, 681
• LCM of 557, 601, 882, 401, 166
• LCM of 239, 564, 751, 551, 888
• LCM of 783, 811, 307, 897, 589

1. What is the LCM of 463, 763, 790, 521, 342?

Answer: LCM of 463, 763, 790, 521, 342 is 24863739898410.

2. How to calculate the LCM of 463, 763, 790, 521, 342?

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 463, 763, 790, 521, 342.

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}.