LCM of 388, 910, 330, 147, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 910, 330, 147, 545 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 388, 910, 330, 147, 545. So, keep reading to learn more.
Given numbers are 388,910,330,147,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,910,330,147,545 is 4445100660.
Find LCM of 388,910,330,147,545 with Prime Factorization
| 2 | 388, 910, 330, 147, 545 |
| 3 | 194, 455, 165, 147, 545 |
| 5 | 194, 455, 55, 49, 545 |
| 7 | 194, 91, 11, 49, 109 |
| 194, 13, 11, 7, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 194 x 13 x 11 x 7 x 109 = 4445100660
Therefore, the lowest common multiple of 388,910,330,147,545 is 4445100660.
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.
388 x 910 x 330 x 147 x 545 = 9334711386000
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.
388 : 1, 2, 4, 97, 194, 388
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
147 : 1, 3, 7, 21, 49, 147
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,910,330,147,545, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
910:2x 5x 7x 13
330:2x 3x 5x 11
147:3x 7x 7
545:5x 109
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 9334711386000/(1x2100)
LCM = 9334711386000/2100
LCM = 4445100660
Thus, we can understand that the LCM of 388,910,330,147,545 is 4445100660.
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FAQs on LCM of 388, 910, 330, 147, 545
1. What is the LCM of 388, 910, 330, 147, 545?
Answer: LCM of 388, 910, 330, 147, 545 is 4445100660.
2. How to calculate the LCM of 388, 910, 330, 147, 545?
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 388, 910, 330, 147, 545.
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}.