Given numbers are 313,78,459

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

The LCM of 313,78,459 is 3735342.

Find LCM of 313,78,459 with Prime Factorization

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

3 x 313 x 26 x 153 = 3735342

Therefore, the lowest common multiple of 313,78,459 is 3735342.

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.

313 x 78 x 459 = 11206026

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.

313 : 1, 313

78 : 1, 2, 3, 6, 13, 26, 39, 78

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,78,459, is 1.

Now, the common factors can be found like this.

313:313

78:2x 3x 13

459:3x 3x 3x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 11206026/(1x3)

LCM = 11206026/3

LCM = 3735342

Thus, we can understand that the LCM of 313,78,459 is 3735342.

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

• LCM of 740, 39, 718
• LCM of 498, 71, 496
• LCM of 320, 86, 317
• LCM of 815, 73, 808
• LCM of 289, 58, 284

1. What is the LCM of 313, 78, 459?

Answer: LCM of 313, 78, 459 is 3735342.

2. How to calculate the LCM of 313, 78, 459?

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 313, 78, 459.

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}.