LCM of 505, 867, 824, 340, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 867, 824, 340, 469 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 505, 867, 824, 340, 469. So, keep reading to learn more.
Given numbers are 505,867,824,340,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,867,824,340,469 is 169203962760.
Find LCM of 505,867,824,340,469 with Prime Factorization
| 2 | 505, 867, 824, 340, 469 |
| 2 | 505, 867, 412, 170, 469 |
| 5 | 505, 867, 206, 85, 469 |
| 17 | 101, 867, 206, 17, 469 |
| 101, 51, 206, 1, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 101 x 51 x 206 x 1 x 469 = 169203962760
Therefore, the lowest common multiple of 505,867,824,340,469 is 169203962760.
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.
505 x 867 x 824 x 340 x 469 = 57529347338400
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.
505 : 1, 5, 101, 505
867 : 1, 3, 17, 51, 289, 867
824 : 1, 2, 4, 8, 103, 206, 412, 824
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,867,824,340,469, is 1.
Now, the common factors can be found like this.
505:5x 101
867:3x 17x 17
824:2x 2x 2x 103
340:2x 2x 5x 17
469:7x 67
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 57529347338400/(1x340)
LCM = 57529347338400/340
LCM = 169203962760
Thus, we can understand that the LCM of 505,867,824,340,469 is 169203962760.
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FAQs on LCM of 505, 867, 824, 340, 469
1. What is the LCM of 505, 867, 824, 340, 469?
Answer: LCM of 505, 867, 824, 340, 469 is 169203962760.
2. How to calculate the LCM of 505, 867, 824, 340, 469?
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 505, 867, 824, 340, 469.
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}.