Given numbers are 395,491,506,814

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

The LCM of 395,491,506,814 is 3631038290.

Find LCM of 395,491,506,814 with Prime Factorization

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

2 x 11 x 395 x 491 x 23 x 37 = 3631038290

Therefore, the lowest common multiple of 395,491,506,814 is 3631038290.

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.

395 x 491 x 506 x 814 = 79882842380

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.

395 : 1, 5, 79, 395

491 : 1, 491

506 : 1, 2, 11, 22, 23, 46, 253, 506

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,491,506,814, is 1.

Now, the common factors can be found like this.

395:5x 79

491:491

506:2x 11x 23

814:2x 11x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 79882842380/(1x22)

LCM = 79882842380/22

LCM = 3631038290

Thus, we can understand that the LCM of 395,491,506,814 is 3631038290.

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

• LCM of 222, 311, 323, 340
• LCM of 394, 903, 510, 681
• LCM of 504, 518, 606, 131
• LCM of 594, 906, 580, 189
• LCM of 992, 804, 917, 199

1. What is the LCM of 395, 491, 506, 814?

Answer: LCM of 395, 491, 506, 814 is 3631038290.

2. How to calculate the LCM of 395, 491, 506, 814?

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 395, 491, 506, 814.

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}.