Given numbers are 678,3825

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

The LCM of 678,3825 is 864450.

Find LCM of 678,3825 with Prime Factorization

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

3 x 226 x 1275 = 864450

Therefore, the lowest common multiple of 678,3825 is 864450.

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.

678 x 3825 = 2593350

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

3825 : 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,3825, is 3.

Now, the common factors can be found like this.

678:2x 3x 113

3825:3x 3x 5x 5x 17

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

= 1

Therefore, the value for common factors is 1.

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 = 2593350/(3x1)

LCM = 2593350/3

LCM = 864450

Thus, we can understand that the LCM of 678,3825 is 864450.

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

• LCM of 158, 5331
• LCM of 596, 7331
• LCM of 749, 2253
• LCM of 143, 4363
• LCM of 188, 1732

1. What is the LCM of 678, 3825?

Answer: LCM of 678, 3825 is 864450.

2. How to calculate the LCM of 678, 3825?

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 678, 3825.

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}.