LCM of 311, 390, 704, 224, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 390, 704, 224, 720 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 311, 390, 704, 224, 720. So, keep reading to learn more.
Given numbers are 311,390,704,224,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,390,704,224,720 is 896575680.
Find LCM of 311,390,704,224,720 with Prime Factorization
| 2 | 311, 390, 704, 224, 720 |
| 2 | 311, 195, 352, 112, 360 |
| 2 | 311, 195, 176, 56, 180 |
| 2 | 311, 195, 88, 28, 90 |
| 2 | 311, 195, 44, 14, 45 |
| 3 | 311, 195, 22, 7, 45 |
| 5 | 311, 65, 22, 7, 15 |
| 311, 13, 22, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 311 x 13 x 22 x 7 x 3 = 896575680
Therefore, the lowest common multiple of 311,390,704,224,720 is 896575680.
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.
311 x 390 x 704 x 224 x 720 = 13771402444800
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.
311 : 1, 311
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,390,704,224,720, is 1.
Now, the common factors can be found like this.
311:311
390:2x 3x 5x 13
704:2x 2x 2x 2x 2x 2x 11
224:2x 2x 2x 2x 2x 7
720:2x 2x 2x 2x 3x 3x 5
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 5 = 15360
Therefore, the value for common factors is 15360.
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 = 13771402444800/(1x15360)
LCM = 13771402444800/15360
LCM = 896575680
Thus, we can understand that the LCM of 311,390,704,224,720 is 896575680.
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FAQs on LCM of 311, 390, 704, 224, 720
1. What is the LCM of 311, 390, 704, 224, 720?
Answer: LCM of 311, 390, 704, 224, 720 is 896575680.
2. How to calculate the LCM of 311, 390, 704, 224, 720?
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 311, 390, 704, 224, 720.
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}.