LCM of 539, 252, 331, 396, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 252, 331, 396, 352 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 539, 252, 331, 396, 352. So, keep reading to learn more.
Given numbers are 539,252,331,396,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,252,331,396,352 is 51381792.
Find LCM of 539,252,331,396,352 with Prime Factorization
| 2 | 539, 252, 331, 396, 352 |
| 2 | 539, 126, 331, 198, 176 |
| 3 | 539, 63, 331, 99, 88 |
| 3 | 539, 21, 331, 33, 88 |
| 7 | 539, 7, 331, 11, 88 |
| 11 | 77, 1, 331, 11, 88 |
| 7, 1, 331, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 7 x 1 x 331 x 1 x 8 = 51381792
Therefore, the lowest common multiple of 539,252,331,396,352 is 51381792.
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.
539 x 252 x 331 x 396 x 352 = 6266934406656
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.
539 : 1, 7, 11, 49, 77, 539
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
331 : 1, 331
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,252,331,396,352, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
252:2x 2x 3x 3x 7
331:331
396:2x 2x 3x 3x 11
352:2x 2x 2x 2x 2x 11
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 2x 3x 3x 7x 11x 11 = 121968
Therefore, the value for common factors is 121968.
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 = 6266934406656/(1x121968)
LCM = 6266934406656/121968
LCM = 51381792
Thus, we can understand that the LCM of 539,252,331,396,352 is 51381792.
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FAQs on LCM of 539, 252, 331, 396, 352
1. What is the LCM of 539, 252, 331, 396, 352?
Answer: LCM of 539, 252, 331, 396, 352 is 51381792.
2. How to calculate the LCM of 539, 252, 331, 396, 352?
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 539, 252, 331, 396, 352.
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}.