LCM of 336, 485, 324, 366, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 485, 324, 366, 711 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 336, 485, 324, 366, 711. So, keep reading to learn more.
Given numbers are 336,485,324,366,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,485,324,366,711 is 21203214480.
Find LCM of 336,485,324,366,711 with Prime Factorization
| 2 | 336, 485, 324, 366, 711 |
| 2 | 168, 485, 162, 183, 711 |
| 3 | 84, 485, 81, 183, 711 |
| 3 | 28, 485, 27, 61, 237 |
| 28, 485, 9, 61, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 28 x 485 x 9 x 61 x 79 = 21203214480
Therefore, the lowest common multiple of 336,485,324,366,711 is 21203214480.
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.
336 x 485 x 324 x 366 x 711 = 13739682983040
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
485 : 1, 5, 97, 485
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
366 : 1, 2, 3, 6, 61, 122, 183, 366
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,485,324,366,711, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
485:5x 97
324:2x 2x 3x 3x 3x 3
366:2x 3x 61
711:3x 3x 79
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 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 13739682983040/(1x648)
LCM = 13739682983040/648
LCM = 21203214480
Thus, we can understand that the LCM of 336,485,324,366,711 is 21203214480.
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FAQs on LCM of 336, 485, 324, 366, 711
1. What is the LCM of 336, 485, 324, 366, 711?
Answer: LCM of 336, 485, 324, 366, 711 is 21203214480.
2. How to calculate the LCM of 336, 485, 324, 366, 711?
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 336, 485, 324, 366, 711.
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}.