Given numbers are 904,238,214,577

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

The LCM of 904,238,214,577 is 6641634664.

Find LCM of 904,238,214,577 with Prime Factorization

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

2 x 452 x 119 x 107 x 577 = 6641634664

Therefore, the lowest common multiple of 904,238,214,577 is 6641634664.

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.

904 x 238 x 214 x 577 = 26566538656

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

238 : 1, 2, 7, 14, 17, 34, 119, 238

214 : 1, 2, 107, 214

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,238,214,577, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

238:2x 7x 17

214:2x 107

577:577

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 26566538656/(1x4)

LCM = 26566538656/4

LCM = 6641634664

Thus, we can understand that the LCM of 904,238,214,577 is 6641634664.

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

• LCM of 867, 372, 521, 576
• LCM of 825, 352, 272, 453
• LCM of 631, 233, 333, 367
• LCM of 589, 764, 590, 559
• LCM of 729, 812, 987, 955

1. What is the LCM of 904, 238, 214, 577?

Answer: LCM of 904, 238, 214, 577 is 6641634664.

2. How to calculate the LCM of 904, 238, 214, 577?

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 904, 238, 214, 577.

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}.