LCM of 633, 334, 988, 405, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 334, 988, 405, 135 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 633, 334, 988, 405, 135. So, keep reading to learn more.
Given numbers are 633,334,988,405,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,334,988,405,135 is 14099733180.
Find LCM of 633,334,988,405,135 with Prime Factorization
| 2 | 633, 334, 988, 405, 135 |
| 3 | 633, 167, 494, 405, 135 |
| 3 | 211, 167, 494, 45, 135 |
| 3 | 211, 167, 494, 15, 45 |
| 5 | 211, 167, 494, 5, 15 |
| 211, 167, 494, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 211 x 167 x 494 x 1 x 3 = 14099733180
Therefore, the lowest common multiple of 633,334,988,405,135 is 14099733180.
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.
633 x 334 x 988 x 405 x 135 = 11420783875800
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.
633 : 1, 3, 211, 633
334 : 1, 2, 167, 334
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,334,988,405,135, is 1.
Now, the common factors can be found like this.
633:3x 211
334:2x 167
988:2x 2x 13x 19
405:3x 3x 3x 3x 5
135:3x 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 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 11420783875800/(1x810)
LCM = 11420783875800/810
LCM = 14099733180
Thus, we can understand that the LCM of 633,334,988,405,135 is 14099733180.
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FAQs on LCM of 633, 334, 988, 405, 135
1. What is the LCM of 633, 334, 988, 405, 135?
Answer: LCM of 633, 334, 988, 405, 135 is 14099733180.
2. How to calculate the LCM of 633, 334, 988, 405, 135?
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 633, 334, 988, 405, 135.
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}.