Given numbers are 809,214,297,374

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

The LCM of 809,214,297,374 is 874113174.

Find LCM of 809,214,297,374 with Prime Factorization

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

2 x 11 x 809 x 107 x 27 x 17 = 874113174

Therefore, the lowest common multiple of 809,214,297,374 is 874113174.

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.

809 x 214 x 297 x 374 = 19230489828

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.

809 : 1, 809

214 : 1, 2, 107, 214

297 : 1, 3, 9, 11, 27, 33, 99, 297

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,214,297,374, is 1.

Now, the common factors can be found like this.

809:809

214:2x 107

297:3x 3x 3x 11

374:2x 11x 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 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 = 19230489828/(1x22)

LCM = 19230489828/22

LCM = 874113174

Thus, we can understand that the LCM of 809,214,297,374 is 874113174.

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

• LCM of 480, 364, 449, 181
• LCM of 794, 811, 778, 301
• LCM of 412, 731, 826, 238
• LCM of 395, 625, 242, 902
• LCM of 499, 887, 820, 620

1. What is the LCM of 809, 214, 297, 374?

Answer: LCM of 809, 214, 297, 374 is 874113174.

2. How to calculate the LCM of 809, 214, 297, 374?

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 809, 214, 297, 374.

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}.