Given numbers are 54,36,878

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

The LCM of 54,36,878 is 47412.

Find LCM of 54,36,878 with Prime Factorization

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

2 x 3 x 3 x 3 x 2 x 439 = 47412

Therefore, the lowest common multiple of 54,36,878 is 47412.

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.

54 x 36 x 878 = 1706832

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.

54 : 1, 2, 3, 6, 9, 18, 27, 54

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

878 : 1, 2, 439, 878

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 54,36,878, is 2.

Now, the common factors can be found like this.

54:2x 3x 3x 3

36:2x 2x 3x 3

878:2x 439

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 1706832/(2x18)

LCM = 1706832/36

LCM = 47412

Thus, we can understand that the LCM of 54,36,878 is 47412.

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

• LCM of 70, 27, 456
• LCM of 21, 65, 725
• LCM of 85, 47, 840
• LCM of 91, 14, 155
• LCM of 34, 56, 479

1. What is the LCM of 54, 36, 878?

Answer: LCM of 54, 36, 878 is 47412.

2. How to calculate the LCM of 54, 36, 878?

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 54, 36, 878.

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}.