Given numbers are 578,626,332,425,442

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

The LCM of 578,626,332,425,442 is 9760310300.

Find LCM of 578,626,332,425,442 with Prime Factorization

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

2 x 17 x 17 x 313 x 166 x 25 x 13 = 9760310300

Therefore, the lowest common multiple of 578,626,332,425,442 is 9760310300.

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.

578 x 626 x 332 x 425 x 442 = 22565837413600

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.

578 : 1, 2, 17, 34, 289, 578

626 : 1, 2, 313, 626

332 : 1, 2, 4, 83, 166, 332

425 : 1, 5, 17, 25, 85, 425

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,626,332,425,442, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

626:2x 313

332:2x 2x 83

425:5x 5x 17

442:2x 13x 17

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 22565837413600/(1x2312)

LCM = 22565837413600/2312

LCM = 9760310300

Thus, we can understand that the LCM of 578,626,332,425,442 is 9760310300.

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

• LCM of 424, 171, 315, 128, 710
• LCM of 993, 886, 268, 896, 365
• LCM of 803, 297, 311, 394, 861
• LCM of 567, 147, 597, 178, 876
• LCM of 722, 757, 733, 415, 670

1. What is the LCM of 578, 626, 332, 425, 442?

Answer: LCM of 578, 626, 332, 425, 442 is 9760310300.

2. How to calculate the LCM of 578, 626, 332, 425, 442?

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 578, 626, 332, 425, 442.

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}.