Given numbers are 312,596,724,359

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

The LCM of 312,596,724,359 is 3020743752.

Find LCM of 312,596,724,359 with Prime Factorization

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

2 x 2 x 78 x 149 x 181 x 359 = 3020743752

Therefore, the lowest common multiple of 312,596,724,359 is 3020743752.

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.

312 x 596 x 724 x 359 = 48331900032

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

724 : 1, 2, 4, 181, 362, 724

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,596,724,359, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

596:2x 2x 149

724:2x 2x 181

359:359

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 = 48331900032/(1x16)

LCM = 48331900032/16

LCM = 3020743752

Thus, we can understand that the LCM of 312,596,724,359 is 3020743752.

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

• LCM of 622, 290, 744, 275
• LCM of 468, 441, 107, 250
• LCM of 110, 288, 291, 157
• LCM of 889, 692, 960, 956
• LCM of 440, 838, 782, 105

1. What is the LCM of 312, 596, 724, 359?

Answer: LCM of 312, 596, 724, 359 is 3020743752.

2. How to calculate the LCM of 312, 596, 724, 359?

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 312, 596, 724, 359.

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}.