LCM of 305, 208, 939, 760, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 208, 939, 760, 546 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 305, 208, 939, 760, 546. So, keep reading to learn more.
Given numbers are 305,208,939,760,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,208,939,760,546 is 7922831280.
Find LCM of 305,208,939,760,546 with Prime Factorization
| 2 | 305, 208, 939, 760, 546 |
| 2 | 305, 104, 939, 380, 273 |
| 2 | 305, 52, 939, 190, 273 |
| 3 | 305, 26, 939, 95, 273 |
| 5 | 305, 26, 313, 95, 91 |
| 13 | 61, 26, 313, 19, 91 |
| 61, 2, 313, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 61 x 2 x 313 x 19 x 7 = 7922831280
Therefore, the lowest common multiple of 305,208,939,760,546 is 7922831280.
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.
305 x 208 x 939 x 760 x 546 = 24719233593600
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.
305 : 1, 5, 61, 305
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
939 : 1, 3, 313, 939
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,208,939,760,546, is 1.
Now, the common factors can be found like this.
305:5x 61
208:2x 2x 2x 2x 13
939:3x 313
760:2x 2x 2x 5x 19
546:2x 3x 7x 13
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 24719233593600/(1x3120)
LCM = 24719233593600/3120
LCM = 7922831280
Thus, we can understand that the LCM of 305,208,939,760,546 is 7922831280.
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FAQs on LCM of 305, 208, 939, 760, 546
1. What is the LCM of 305, 208, 939, 760, 546?
Answer: LCM of 305, 208, 939, 760, 546 is 7922831280.
2. How to calculate the LCM of 305, 208, 939, 760, 546?
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 305, 208, 939, 760, 546.
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}.