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LCM of 289, 561, 396, 477, 915

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


Find the LCM of 289, 561, 396, 477, 915 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 289, 561, 396, 477, 915. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,561,396,477,915

Given numbers are 289,561,396,477,915

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

The LCM of 289,561,396,477,915 is 1849987260.

Find LCM of 289,561,396,477,915 with Prime Factorization


3 289, 561, 396, 477, 915
3 289, 187, 132, 159, 305
11 289, 187, 44, 53, 305
17 289, 17, 4, 53, 305
1, 17, 4, 53, 305

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

3 x 3 x 11 x 17 x 1 x 17 x 4 x 53 x 305 = 1849987260

Therefore, the lowest common multiple of 289,561,396,477,915 is 1849987260.

LCM Formula to Find Lowest Common Multiple of 289,561,396,477,915

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.

289 x 561 x 396 x 477 x 915 = 28021757027220

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.

289 : 1, 17, 289

561 : 1, 3, 11, 17, 33, 51, 187, 561

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

477 : 1, 3, 9, 53, 159, 477

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,561,396,477,915, is 1.

Now, the common factors can be found like this.

289:17x 17

561:3x 11x 17

396:2x 2x 3x 3x 11

477:3x 3x 53

915:3x 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.

3x 3x 3x 3x 11x 17 = 15147

Therefore, the value for common factors is 15147.

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 = 28021757027220/(1x15147)

LCM = 28021757027220/15147

LCM = 1849987260

Thus, we can understand that the LCM of 289,561,396,477,915 is 1849987260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 561, 396, 477, 915

1. What is the LCM of 289, 561, 396, 477, 915?

Answer: LCM of 289, 561, 396, 477, 915 is 1849987260.

2. How to calculate the LCM of 289, 561, 396, 477, 915?

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 289, 561, 396, 477, 915.

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}.