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LCM of 717, 230, 360, 184

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 717, 230, 360, 184 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 717, 230, 360, 184. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,230,360,184

Given numbers are 717,230,360,184

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

The LCM of 717,230,360,184 is 1978920.

Find LCM of 717,230,360,184 with Prime Factorization


2 717, 230, 360, 184
2 717, 115, 180, 92
2 717, 115, 90, 46
3 717, 115, 45, 23
5 239, 115, 15, 23
23 239, 23, 3, 23
239, 1, 3, 1

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

2 x 2 x 2 x 3 x 5 x 23 x 239 x 1 x 3 x 1 = 1978920

Therefore, the lowest common multiple of 717,230,360,184 is 1978920.

LCM Formula to Find Lowest Common Multiple of 717,230,360,184

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 230 x 360 x 184 = 10923638400

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,230,360,184, is 1.

Now, the common factors can be found like this.

717:3x 239

230:2x 5x 23

360:2x 2x 2x 3x 3x 5

184:2x 2x 2x 23

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

2x 2x 2x 2x 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 10923638400/(1x5520)

LCM = 10923638400/5520

LCM = 1978920

Thus, we can understand that the LCM of 717,230,360,184 is 1978920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 230, 360, 184

1. What is the LCM of 717, 230, 360, 184?

Answer: LCM of 717, 230, 360, 184 is 1978920.

2. How to calculate the LCM of 717, 230, 360, 184?

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, 230, 360, 184.

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}.