Given numbers are 364,128,904,646

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

The LCM of 364,128,904,646 is 425140352.

Find LCM of 364,128,904,646 with Prime Factorization

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

2 x 2 x 2 x 91 x 16 x 113 x 323 = 425140352

Therefore, the lowest common multiple of 364,128,904,646 is 425140352.

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.

364 x 128 x 904 x 646 = 27208982528

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,128,904,646, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

128:2x 2x 2x 2x 2x 2x 2

904:2x 2x 2x 113

646:2x 17x 19

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

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 27208982528/(2x32)

LCM = 27208982528/64

LCM = 425140352

Thus, we can understand that the LCM of 364,128,904,646 is 425140352.

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

• LCM of 937, 539, 983, 145
• LCM of 598, 533, 236, 732
• LCM of 144, 663, 200, 608
• LCM of 201, 919, 627, 819
• LCM of 618, 863, 647, 160

1. What is the LCM of 364, 128, 904, 646?

Answer: LCM of 364, 128, 904, 646 is 425140352.

2. How to calculate the LCM of 364, 128, 904, 646?

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 364, 128, 904, 646.

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}.