Given numbers are 596,528,380,451

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

The LCM of 596,528,380,451 is 306427440.

Find LCM of 596,528,380,451 with Prime Factorization

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

2 x 2 x 11 x 149 x 12 x 95 x 41 = 306427440

Therefore, the lowest common multiple of 596,528,380,451 is 306427440.

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 528 x 380 x 451 = 53931229440

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,528,380,451, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

528:2x 2x 2x 2x 3x 11

380:2x 2x 5x 19

451:11x 41

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 11 = 176

Therefore, the value for common factors is 176.

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 = 53931229440/(1x176)

LCM = 53931229440/176

LCM = 306427440

Thus, we can understand that the LCM of 596,528,380,451 is 306427440.

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

• LCM of 100, 973, 389, 277
• LCM of 940, 881, 484, 528
• LCM of 500, 468, 904, 371
• LCM of 261, 393, 830, 587
• LCM of 230, 779, 600, 900

1. What is the LCM of 596, 528, 380, 451?

Answer: LCM of 596, 528, 380, 451 is 306427440.

2. How to calculate the LCM of 596, 528, 380, 451?

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, 528, 380, 451.

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}.