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LCM of 582, 792, 715, 289

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


Find the LCM of 582, 792, 715, 289 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 582, 792, 715, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,792,715,289

Given numbers are 582,792,715,289

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

The LCM of 582,792,715,289 is 1443138840.

Find LCM of 582,792,715,289 with Prime Factorization


2 582, 792, 715, 289
3 291, 396, 715, 289
11 97, 132, 715, 289
97, 12, 65, 289

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

2 x 3 x 11 x 97 x 12 x 65 x 289 = 1443138840

Therefore, the lowest common multiple of 582,792,715,289 is 1443138840.

LCM Formula to Find Lowest Common Multiple of 582,792,715,289

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.

582 x 792 x 715 x 289 = 95247163440

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

715 : 1, 5, 11, 13, 55, 65, 143, 715

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,792,715,289, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

792:2x 2x 2x 3x 3x 11

715:5x 11x 13

289:17x 17

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 95247163440/(1x66)

LCM = 95247163440/66

LCM = 1443138840

Thus, we can understand that the LCM of 582,792,715,289 is 1443138840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 792, 715, 289

1. What is the LCM of 582, 792, 715, 289?

Answer: LCM of 582, 792, 715, 289 is 1443138840.

2. How to calculate the LCM of 582, 792, 715, 289?

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 582, 792, 715, 289.

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}.