LCM of 449, 475, 320, 456, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 475, 320, 456, 216 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 449, 475, 320, 456, 216. So, keep reading to learn more.
Given numbers are 449,475,320,456,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,475,320,456,216 is 368539200.
Find LCM of 449,475,320,456,216 with Prime Factorization
| 2 | 449, 475, 320, 456, 216 |
| 2 | 449, 475, 160, 228, 108 |
| 2 | 449, 475, 80, 114, 54 |
| 3 | 449, 475, 40, 57, 27 |
| 5 | 449, 475, 40, 19, 9 |
| 19 | 449, 95, 8, 19, 9 |
| 449, 5, 8, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 449 x 5 x 8 x 1 x 9 = 368539200
Therefore, the lowest common multiple of 449,475,320,456,216 is 368539200.
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.
449 x 475 x 320 x 456 x 216 = 6722155008000
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.
449 : 1, 449
475 : 1, 5, 19, 25, 95, 475
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,475,320,456,216, is 1.
Now, the common factors can be found like this.
449:449
475:5x 5x 19
320:2x 2x 2x 2x 2x 2x 5
456:2x 2x 2x 3x 19
216:2x 2x 2x 3x 3x 3
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 2x 2x 3x 5x 19 = 18240
Therefore, the value for common factors is 18240.
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 = 6722155008000/(1x18240)
LCM = 6722155008000/18240
LCM = 368539200
Thus, we can understand that the LCM of 449,475,320,456,216 is 368539200.
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FAQs on LCM of 449, 475, 320, 456, 216
1. What is the LCM of 449, 475, 320, 456, 216?
Answer: LCM of 449, 475, 320, 456, 216 is 368539200.
2. How to calculate the LCM of 449, 475, 320, 456, 216?
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 449, 475, 320, 456, 216.
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}.