LCM of 405, 942, 864, 487, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 942, 864, 487, 175 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, 942, 864, 487, 175. So, keep reading to learn more.
Given numbers are 405,942,864,487,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,942,864,487,175 is 34681802400.
Find LCM of 405,942,864,487,175 with Prime Factorization
| 2 | 405, 942, 864, 487, 175 |
| 3 | 405, 471, 432, 487, 175 |
| 3 | 135, 157, 144, 487, 175 |
| 3 | 45, 157, 48, 487, 175 |
| 5 | 15, 157, 16, 487, 175 |
| 3, 157, 16, 487, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 3 x 157 x 16 x 487 x 35 = 34681802400
Therefore, the lowest common multiple of 405,942,864,487,175 is 34681802400.
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 942 x 864 x 487 x 175 = 28092259944000
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
942 : 1, 2, 3, 6, 157, 314, 471, 942
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
487 : 1, 487
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,942,864,487,175, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
942:2x 3x 157
864:2x 2x 2x 2x 2x 3x 3x 3
487:487
175:5x 5x 7
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 = 28092259944000/(1x810)
LCM = 28092259944000/810
LCM = 34681802400
Thus, we can understand that the LCM of 405,942,864,487,175 is 34681802400.
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FAQs on LCM of 405, 942, 864, 487, 175
1. What is the LCM of 405, 942, 864, 487, 175?
Answer: LCM of 405, 942, 864, 487, 175 is 34681802400.
2. How to calculate the LCM of 405, 942, 864, 487, 175?
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, 942, 864, 487, 175.
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}.