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LCM of 717, 280, 732, 610

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


Find the LCM of 717, 280, 732, 610 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, 280, 732, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,280,732,610

Given numbers are 717,280,732,610

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

The LCM of 717,280,732,610 is 12246360.

Find LCM of 717,280,732,610 with Prime Factorization


2 717, 280, 732, 610
2 717, 140, 366, 305
3 717, 70, 183, 305
5 239, 70, 61, 305
61 239, 14, 61, 61
239, 14, 1, 1

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

2 x 2 x 3 x 5 x 61 x 239 x 14 x 1 x 1 = 12246360

Therefore, the lowest common multiple of 717,280,732,610 is 12246360.

LCM Formula to Find Lowest Common Multiple of 717,280,732,610

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 280 x 732 x 610 = 89643355200

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,280,732,610, is 1.

Now, the common factors can be found like this.

717:3x 239

280:2x 2x 2x 5x 7

732:2x 2x 3x 61

610:2x 5x 61

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 3x 5x 61 = 7320

Therefore, the value for common factors is 7320.

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 = 89643355200/(1x7320)

LCM = 89643355200/7320

LCM = 12246360

Thus, we can understand that the LCM of 717,280,732,610 is 12246360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 280, 732, 610

1. What is the LCM of 717, 280, 732, 610?

Answer: LCM of 717, 280, 732, 610 is 12246360.

2. How to calculate the LCM of 717, 280, 732, 610?

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, 280, 732, 610.

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}.