LCM of 110, 582, 484, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 582, 484, 388 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 110, 582, 484, 388. So, keep reading to learn more.
Given numbers are 110,582,484,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,582,484,388 is 704220.
Find LCM of 110,582,484,388 with Prime Factorization
| 2 | 110, 582, 484, 388 |
| 2 | 55, 291, 242, 194 |
| 11 | 55, 291, 121, 97 |
| 97 | 5, 291, 11, 97 |
| 5, 3, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 97 x 5 x 3 x 11 x 1 = 704220
Therefore, the lowest common multiple of 110,582,484,388 is 704220.
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.
110 x 582 x 484 x 388 = 12022443840
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
582 : 1, 2, 3, 6, 97, 194, 291, 582
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
388 : 1, 2, 4, 97, 194, 388
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,582,484,388, is 2.
Now, the common factors can be found like this.
110:2x 5x 11
582:2x 3x 97
484:2x 2x 11x 11
388:2x 2x 97
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 11x 97 = 8536
Therefore, the value for common factors is 8536.
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 = 12022443840/(2x8536)
LCM = 12022443840/17072
LCM = 704220
Thus, we can understand that the LCM of 110,582,484,388 is 704220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 582, 484, 388
1. What is the LCM of 110, 582, 484, 388?
Answer: LCM of 110, 582, 484, 388 is 704220.
2. How to calculate the LCM of 110, 582, 484, 388?
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 110, 582, 484, 388.
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}.