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LCM of 289, 221, 595, 312

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


Find the LCM of 289, 221, 595, 312 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, 221, 595, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,221,595,312

Given numbers are 289,221,595,312

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

The LCM of 289,221,595,312 is 3155880.

Find LCM of 289,221,595,312 with Prime Factorization


13 289, 221, 595, 312
17 289, 17, 595, 24
1, 17, 35, 24

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

13 x 17 x 1 x 17 x 35 x 24 = 3155880

Therefore, the lowest common multiple of 289,221,595,312 is 3155880.

LCM Formula to Find Lowest Common Multiple of 289,221,595,312

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 221 x 595 x 312 = 11856641160

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

221 : 1, 13, 17, 221

595 : 1, 5, 7, 17, 35, 85, 119, 595

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,221,595,312, is 1.

Now, the common factors can be found like this.

289:17x 17

221:13x 17

595:5x 7x 17

312:2x 2x 2x 3x 13

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

13x 17x 17 = 3757

Therefore, the value for common factors is 3757.

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 = 11856641160/(1x3757)

LCM = 11856641160/3757

LCM = 3155880

Thus, we can understand that the LCM of 289,221,595,312 is 3155880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 221, 595, 312

1. What is the LCM of 289, 221, 595, 312?

Answer: LCM of 289, 221, 595, 312 is 3155880.

2. How to calculate the LCM of 289, 221, 595, 312?

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, 221, 595, 312.

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}.