Given numbers are 454,578,676

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

The LCM of 454,578,676 is 44347628.

Find LCM of 454,578,676 with Prime Factorization

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

2 x 227 x 289 x 338 = 44347628

Therefore, the lowest common multiple of 454,578,676 is 44347628.

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.

454 x 578 x 676 = 177390512

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.

454 : 1, 2, 227, 454

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,578,676, is 2.

Now, the common factors can be found like this.

454:2x 227

578:2x 17x 17

676:2x 2x 13x 13

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 = 177390512/(2x2)

LCM = 177390512/4

LCM = 44347628

Thus, we can understand that the LCM of 454,578,676 is 44347628.

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

• LCM of 378, 840, 210
• LCM of 360, 627, 778
• LCM of 522, 350, 598
• LCM of 285, 434, 698
• LCM of 631, 941, 574

1. What is the LCM of 454, 578, 676?

Answer: LCM of 454, 578, 676 is 44347628.

2. How to calculate the LCM of 454, 578, 676?

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 454, 578, 676.

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}.