Given numbers are 717,24,614

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

The LCM of 717,24,614 is 1760952.

Find LCM of 717,24,614 with Prime Factorization

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

2 x 3 x 239 x 4 x 307 = 1760952

Therefore, the lowest common multiple of 717,24,614 is 1760952.

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.

717 x 24 x 614 = 10565712

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.

717 : 1, 3, 239, 717

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

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,24,614, is 1.

Now, the common factors can be found like this.

717:3x 239

24:2x 2x 2x 3

614:2x 307

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10565712/(1x6)

LCM = 10565712/6

LCM = 1760952

Thus, we can understand that the LCM of 717,24,614 is 1760952.

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

• LCM of 828, 26, 968
• LCM of 123, 92, 244
• LCM of 379, 57, 887
• LCM of 714, 58, 971
• LCM of 297, 16, 744

1. What is the LCM of 717, 24, 614?

Answer: LCM of 717, 24, 614 is 1760952.

2. How to calculate the LCM of 717, 24, 614?

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 717, 24, 614.

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}.