LCM of 382, 198, 308, 588, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 198, 308, 588, 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 382, 198, 308, 588, 720. So, keep reading to learn more.
Given numbers are 382,198,308,588,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,198,308,588,720 is 74123280.
Find LCM of 382,198,308,588,720 with Prime Factorization
| 2 | 382, 198, 308, 588, 720 |
| 2 | 191, 99, 154, 294, 360 |
| 3 | 191, 99, 77, 147, 180 |
| 3 | 191, 33, 77, 49, 60 |
| 7 | 191, 11, 77, 49, 20 |
| 11 | 191, 11, 11, 7, 20 |
| 191, 1, 1, 7, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 191 x 1 x 1 x 7 x 20 = 74123280
Therefore, the lowest common multiple of 382,198,308,588,720 is 74123280.
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.
382 x 198 x 308 x 588 x 720 = 9862547143680
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.
382 : 1, 2, 191, 382
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,198,308,588,720, is 2.
Now, the common factors can be found like this.
382:2x 191
198:2x 3x 3x 11
308:2x 2x 7x 11
588:2x 2x 3x 7x 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 3x 3x 3x 7x 11 = 66528
Therefore, the value for common factors is 66528.
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 = 9862547143680/(2x66528)
LCM = 9862547143680/133056
LCM = 74123280
Thus, we can understand that the LCM of 382,198,308,588,720 is 74123280.
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FAQs on LCM of 382, 198, 308, 588, 720
1. What is the LCM of 382, 198, 308, 588, 720?
Answer: LCM of 382, 198, 308, 588, 720 is 74123280.
2. How to calculate the LCM of 382, 198, 308, 588, 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 382, 198, 308, 588, 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}.