Given numbers are 578,315,814

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

The LCM of 578,315,814 is 74102490.

Find LCM of 578,315,814 with Prime Factorization

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

2 x 289 x 315 x 407 = 74102490

Therefore, the lowest common multiple of 578,315,814 is 74102490.

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 315 x 814 = 148204980

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,315,814, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

315:3x 3x 5x 7

814:2x 11x 37

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 = 148204980/(1x2)

LCM = 148204980/2

LCM = 74102490

Thus, we can understand that the LCM of 578,315,814 is 74102490.

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

• LCM of 669, 734, 219
• LCM of 556, 502, 865
• LCM of 547, 591, 767
• LCM of 481, 967, 414
• LCM of 632, 918, 681

1. What is the LCM of 578, 315, 814?

Answer: LCM of 578, 315, 814 is 74102490.

2. How to calculate the LCM of 578, 315, 814?

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, 315, 814.

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}.