Given numbers are 578,486,614

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

The LCM of 578,486,614 is 43119378.

Find LCM of 578,486,614 with Prime Factorization

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

2 x 289 x 243 x 307 = 43119378

Therefore, the lowest common multiple of 578,486,614 is 43119378.

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 486 x 614 = 172477512

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,486,614, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

486:2x 3x 3x 3x 3x 3

614:2x 307

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 = 172477512/(2x2)

LCM = 172477512/4

LCM = 43119378

Thus, we can understand that the LCM of 578,486,614 is 43119378.

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

• LCM of 524, 879, 292
• LCM of 954, 295, 606
• LCM of 962, 410, 776
• LCM of 623, 280, 642
• LCM of 796, 351, 559

1. What is the LCM of 578, 486, 614?

Answer: LCM of 578, 486, 614 is 43119378.

2. How to calculate the LCM of 578, 486, 614?

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, 486, 614.

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}.