LCM of 224, 304, 446, 225, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 304, 446, 225, 576 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 224, 304, 446, 225, 576. So, keep reading to learn more.
Given numbers are 224,304,446,225,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,304,446,225,576 is 427089600.
Find LCM of 224,304,446,225,576 with Prime Factorization
| 2 | 224, 304, 446, 225, 576 |
| 2 | 112, 152, 223, 225, 288 |
| 2 | 56, 76, 223, 225, 144 |
| 2 | 28, 38, 223, 225, 72 |
| 2 | 14, 19, 223, 225, 36 |
| 3 | 7, 19, 223, 225, 18 |
| 3 | 7, 19, 223, 75, 6 |
| 7, 19, 223, 25, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 223 x 25 x 2 = 427089600
Therefore, the lowest common multiple of 224,304,446,225,576 is 427089600.
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.
224 x 304 x 446 x 225 x 576 = 3936057753600
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
446 : 1, 2, 223, 446
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,304,446,225,576, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
304:2x 2x 2x 2x 19
446:2x 223
225:3x 3x 5x 5
576:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 3936057753600/(1x9216)
LCM = 3936057753600/9216
LCM = 427089600
Thus, we can understand that the LCM of 224,304,446,225,576 is 427089600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 224, 304, 446, 225, 576
1. What is the LCM of 224, 304, 446, 225, 576?
Answer: LCM of 224, 304, 446, 225, 576 is 427089600.
2. How to calculate the LCM of 224, 304, 446, 225, 576?
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 224, 304, 446, 225, 576.
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}.