LCM of 405, 680, 933, 698, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 680, 933, 698, 153 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 405, 680, 933, 698, 153. So, keep reading to learn more.
Given numbers are 405,680,933,698,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,680,933,698,153 is 5978328120.
Find LCM of 405,680,933,698,153 with Prime Factorization
| 2 | 405, 680, 933, 698, 153 |
| 3 | 405, 340, 933, 349, 153 |
| 3 | 135, 340, 311, 349, 51 |
| 5 | 45, 340, 311, 349, 17 |
| 17 | 9, 68, 311, 349, 17 |
| 9, 4, 311, 349, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 9 x 4 x 311 x 349 x 1 = 5978328120
Therefore, the lowest common multiple of 405,680,933,698,153 is 5978328120.
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.
405 x 680 x 933 x 698 x 153 = 27440526070800
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
933 : 1, 3, 311, 933
698 : 1, 2, 349, 698
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,680,933,698,153, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
680:2x 2x 2x 5x 17
933:3x 311
698:2x 349
153:3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 17 = 4590
Therefore, the value for common factors is 4590.
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 = 27440526070800/(1x4590)
LCM = 27440526070800/4590
LCM = 5978328120
Thus, we can understand that the LCM of 405,680,933,698,153 is 5978328120.
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FAQs on LCM of 405, 680, 933, 698, 153
1. What is the LCM of 405, 680, 933, 698, 153?
Answer: LCM of 405, 680, 933, 698, 153 is 5978328120.
2. How to calculate the LCM of 405, 680, 933, 698, 153?
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 405, 680, 933, 698, 153.
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}.