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LCM of 533, 315, 931, 289, 845

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


Find the LCM of 533, 315, 931, 289, 845 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 533, 315, 931, 289, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,315,931,289,845

Given numbers are 533,315,931,289,845

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

The LCM of 533,315,931,289,845 is 83893941495.

Find LCM of 533,315,931,289,845 with Prime Factorization


5 533, 315, 931, 289, 845
7 533, 63, 931, 289, 169
13 533, 9, 133, 289, 169
41, 9, 133, 289, 13

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

5 x 7 x 13 x 41 x 9 x 133 x 289 x 13 = 83893941495

Therefore, the lowest common multiple of 533,315,931,289,845 is 83893941495.

LCM Formula to Find Lowest Common Multiple of 533,315,931,289,845

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.

533 x 315 x 931 x 289 x 845 = 38171743380225

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.

533 : 1, 13, 41, 533

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

931 : 1, 7, 19, 49, 133, 931

289 : 1, 17, 289

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,315,931,289,845, is 1.

Now, the common factors can be found like this.

533:13x 41

315:3x 3x 5x 7

931:7x 7x 19

289:17x 17

845:5x 13x 13

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

5x 7x 13 = 455

Therefore, the value for common factors is 455.

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 = 38171743380225/(1x455)

LCM = 38171743380225/455

LCM = 83893941495

Thus, we can understand that the LCM of 533,315,931,289,845 is 83893941495.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 315, 931, 289, 845

1. What is the LCM of 533, 315, 931, 289, 845?

Answer: LCM of 533, 315, 931, 289, 845 is 83893941495.

2. How to calculate the LCM of 533, 315, 931, 289, 845?

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 533, 315, 931, 289, 845.

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}.