Given numbers are 596,256,677,409

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

The LCM of 596,256,677,409 is 10561806592.

Find LCM of 596,256,677,409 with Prime Factorization

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

2 x 2 x 149 x 64 x 677 x 409 = 10561806592

Therefore, the lowest common multiple of 596,256,677,409 is 10561806592.

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.

596 x 256 x 677 x 409 = 42247226368

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.

596 : 1, 2, 4, 149, 298, 596

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

677 : 1, 677

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,256,677,409, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

256:2x 2x 2x 2x 2x 2x 2x 2

677:677

409:409

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 = 42247226368/(1x4)

LCM = 42247226368/4

LCM = 10561806592

Thus, we can understand that the LCM of 596,256,677,409 is 10561806592.

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

• LCM of 321, 716, 892, 617
• LCM of 275, 627, 811, 530
• LCM of 951, 504, 710, 626
• LCM of 978, 631, 118, 834
• LCM of 818, 798, 625, 595

1. What is the LCM of 596, 256, 677, 409?

Answer: LCM of 596, 256, 677, 409 is 10561806592.

2. How to calculate the LCM of 596, 256, 677, 409?

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 596, 256, 677, 409.

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}.