Given numbers are 590,614,804

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

The LCM of 590,614,804 is 72814260.

Find LCM of 590,614,804 with Prime Factorization

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

2 x 295 x 307 x 402 = 72814260

Therefore, the lowest common multiple of 590,614,804 is 72814260.

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.

590 x 614 x 804 = 291257040

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

614 : 1, 2, 307, 614

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,614,804, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

614:2x 307

804:2x 2x 3x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 291257040/(2x2)

LCM = 291257040/4

LCM = 72814260

Thus, we can understand that the LCM of 590,614,804 is 72814260.

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

• LCM of 223, 447, 119
• LCM of 342, 888, 906
• LCM of 416, 431, 759
• LCM of 381, 230, 154
• LCM of 986, 471, 141

1. What is the LCM of 590, 614, 804?

Answer: LCM of 590, 614, 804 is 72814260.

2. How to calculate the LCM of 590, 614, 804?

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 590, 614, 804.

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}.