Given numbers are 513,596,116,800

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

The LCM of 513,596,116,800 is 1773338400.

Find LCM of 513,596,116,800 with Prime Factorization

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

2 x 2 x 513 x 149 x 29 x 200 = 1773338400

Therefore, the lowest common multiple of 513,596,116,800 is 1773338400.

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.

513 x 596 x 116 x 800 = 28373414400

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

116 : 1, 2, 4, 29, 58, 116

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,596,116,800, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

596:2x 2x 149

116:2x 2x 29

800:2x 2x 2x 2x 2x 5x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 28373414400/(1x16)

LCM = 28373414400/16

LCM = 1773338400

Thus, we can understand that the LCM of 513,596,116,800 is 1773338400.

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

• LCM of 431, 351, 481, 535
• LCM of 636, 297, 521, 115
• LCM of 850, 312, 669, 597
• LCM of 530, 716, 719, 434
• LCM of 894, 861, 969, 375

1. What is the LCM of 513, 596, 116, 800?

Answer: LCM of 513, 596, 116, 800 is 1773338400.

2. How to calculate the LCM of 513, 596, 116, 800?

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 513, 596, 116, 800.

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}.