Given numbers are 578,581,575,138

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

The LCM of 578,581,575,138 is 579286050.

Find LCM of 578,581,575,138 with Prime Factorization

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

2 x 23 x 289 x 581 x 25 x 3 = 579286050

Therefore, the lowest common multiple of 578,581,575,138 is 579286050.

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 581 x 575 x 138 = 26647158300

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

581 : 1, 7, 83, 581

575 : 1, 5, 23, 25, 115, 575

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,581,575,138, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

581:7x 83

575:5x 5x 23

138:2x 3x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 26647158300/(1x46)

LCM = 26647158300/46

LCM = 579286050

Thus, we can understand that the LCM of 578,581,575,138 is 579286050.

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

• LCM of 342, 327, 742, 618
• LCM of 497, 640, 878, 333
• LCM of 254, 297, 384, 123
• LCM of 785, 403, 676, 111
• LCM of 409, 148, 179, 933

1. What is the LCM of 578, 581, 575, 138?

Answer: LCM of 578, 581, 575, 138 is 579286050.

2. How to calculate the LCM of 578, 581, 575, 138?

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, 581, 575, 138.

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}.