LCM of 227, 680, 440, 576, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 680, 440, 576, 306 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 227, 680, 440, 576, 306. So, keep reading to learn more.
Given numbers are 227,680,440,576,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,680,440,576,306 is 122253120.
Find LCM of 227,680,440,576,306 with Prime Factorization
| 2 | 227, 680, 440, 576, 306 |
| 2 | 227, 340, 220, 288, 153 |
| 2 | 227, 170, 110, 144, 153 |
| 3 | 227, 85, 55, 72, 153 |
| 3 | 227, 85, 55, 24, 51 |
| 5 | 227, 85, 55, 8, 17 |
| 17 | 227, 17, 11, 8, 17 |
| 227, 1, 11, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 17 x 227 x 1 x 11 x 8 x 1 = 122253120
Therefore, the lowest common multiple of 227,680,440,576,306 is 122253120.
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.
227 x 680 x 440 x 576 x 306 = 11971025510400
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.
227 : 1, 227
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,680,440,576,306, is 1.
Now, the common factors can be found like this.
227:227
680:2x 2x 2x 5x 17
440:2x 2x 2x 5x 11
576:2x 2x 2x 2x 2x 2x 3x 3
306:2x 3x 3x 17
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 3x 3x 5x 17 = 97920
Therefore, the value for common factors is 97920.
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 = 11971025510400/(1x97920)
LCM = 11971025510400/97920
LCM = 122253120
Thus, we can understand that the LCM of 227,680,440,576,306 is 122253120.
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FAQs on LCM of 227, 680, 440, 576, 306
1. What is the LCM of 227, 680, 440, 576, 306?
Answer: LCM of 227, 680, 440, 576, 306 is 122253120.
2. How to calculate the LCM of 227, 680, 440, 576, 306?
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 227, 680, 440, 576, 306.
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}.