Given numbers are 417,24,869

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

The LCM of 417,24,869 is 2898984.

Find LCM of 417,24,869 with Prime Factorization

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

3 x 139 x 8 x 869 = 2898984

Therefore, the lowest common multiple of 417,24,869 is 2898984.

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.

417 x 24 x 869 = 8696952

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.

417 : 1, 3, 139, 417

24 : 1, 2, 3, 4, 6, 8, 12, 24

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,24,869, is 1.

Now, the common factors can be found like this.

417:3x 139

24:2x 2x 2x 3

869:11x 79

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 = 8696952/(1x3)

LCM = 8696952/3

LCM = 2898984

Thus, we can understand that the LCM of 417,24,869 is 2898984.

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

• LCM of 839, 19, 562
• LCM of 407, 93, 564
• LCM of 542, 63, 886
• LCM of 774, 34, 266
• LCM of 130, 92, 946

1. What is the LCM of 417, 24, 869?

Answer: LCM of 417, 24, 869 is 2898984.

2. How to calculate the LCM of 417, 24, 869?

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 417, 24, 869.

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}.