Given numbers are 57,17,678

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

The LCM of 57,17,678 is 218994.

Find LCM of 57,17,678 with Prime Factorization

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

3 x 19 x 17 x 226 = 218994

Therefore, the lowest common multiple of 57,17,678 is 218994.

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.

57 x 17 x 678 = 656982

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.

57 : 1, 3, 19, 57

17 : 1, 17

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 57,17,678, is 1.

Now, the common factors can be found like this.

57:3x 19

17:17

678:2x 3x 113

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 = 656982/(1x3)

LCM = 656982/3

LCM = 218994

Thus, we can understand that the LCM of 57,17,678 is 218994.

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

• LCM of 96, 63, 864
• LCM of 70, 55, 430
• LCM of 13, 94, 869
• LCM of 20, 48, 915
• LCM of 17, 82, 329

1. What is the LCM of 57, 17, 678?

Answer: LCM of 57, 17, 678 is 218994.

2. How to calculate the LCM of 57, 17, 678?

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 57, 17, 678.

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}.