LCM of 296, 537, 888, 533, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 537, 888, 533, 813 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 296, 537, 888, 533, 813. So, keep reading to learn more.
Given numbers are 296,537,888,533,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,537,888,533,813 is 22959503736.
Find LCM of 296,537,888,533,813 with Prime Factorization
| 2 | 296, 537, 888, 533, 813 |
| 2 | 148, 537, 444, 533, 813 |
| 2 | 74, 537, 222, 533, 813 |
| 3 | 37, 537, 111, 533, 813 |
| 37 | 37, 179, 37, 533, 271 |
| 1, 179, 1, 533, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 1 x 179 x 1 x 533 x 271 = 22959503736
Therefore, the lowest common multiple of 296,537,888,533,813 is 22959503736.
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.
296 x 537 x 888 x 533 x 813 = 61164117952704
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
537 : 1, 3, 179, 537
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
533 : 1, 13, 41, 533
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,537,888,533,813, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
537:3x 179
888:2x 2x 2x 3x 37
533:13x 41
813:3x 271
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 3x 37 = 2664
Therefore, the value for common factors is 2664.
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 = 61164117952704/(1x2664)
LCM = 61164117952704/2664
LCM = 22959503736
Thus, we can understand that the LCM of 296,537,888,533,813 is 22959503736.
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FAQs on LCM of 296, 537, 888, 533, 813
1. What is the LCM of 296, 537, 888, 533, 813?
Answer: LCM of 296, 537, 888, 533, 813 is 22959503736.
2. How to calculate the LCM of 296, 537, 888, 533, 813?
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 296, 537, 888, 533, 813.
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}.