LCM of 122, 318, 405, 131, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 122, 318, 405, 131, 817 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 122, 318, 405, 131, 817. So, keep reading to learn more.
Given numbers are 122,318,405,131,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,318,405,131,817 is 280274815710.
Find LCM of 122,318,405,131,817 with Prime Factorization
| 2 | 122, 318, 405, 131, 817 |
| 3 | 61, 159, 405, 131, 817 |
| 61, 53, 135, 131, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 53 x 135 x 131 x 817 = 280274815710
Therefore, the lowest common multiple of 122,318,405,131,817 is 280274815710.
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.
122 x 318 x 405 x 131 x 817 = 1681648894260
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.
122 : 1, 2, 61, 122
318 : 1, 2, 3, 6, 53, 106, 159, 318
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
131 : 1, 131
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,318,405,131,817, is 1.
Now, the common factors can be found like this.
122:2x 61
318:2x 3x 53
405:3x 3x 3x 3x 5
131:131
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 1681648894260/(1x6)
LCM = 1681648894260/6
LCM = 280274815710
Thus, we can understand that the LCM of 122,318,405,131,817 is 280274815710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 122, 318, 405, 131, 817
1. What is the LCM of 122, 318, 405, 131, 817?
Answer: LCM of 122, 318, 405, 131, 817 is 280274815710.
2. How to calculate the LCM of 122, 318, 405, 131, 817?
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 122, 318, 405, 131, 817.
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}.