LCM of 431, 995, 864, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 995, 864, 995 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 431, 995, 864, 995. So, keep reading to learn more.
Given numbers are 431,995,864,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,995,864,995 is 370522080.
Find LCM of 431,995,864,995 with Prime Factorization
| 5 | 431, 995, 864, 995 |
| 199 | 431, 199, 864, 199 |
| 431, 1, 864, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 199 x 431 x 1 x 864 x 1 = 370522080
Therefore, the lowest common multiple of 431,995,864,995 is 370522080.
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.
431 x 995 x 864 x 995 = 368669469600
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.
431 : 1, 431
995 : 1, 5, 199, 995
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
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,995,864,995, is 1.
Now, the common factors can be found like this.
431:431
995:5x 199
864:2x 2x 2x 2x 2x 3x 3x 3
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 199 = 995
Therefore, the value for common factors is 995.
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 = 368669469600/(1x995)
LCM = 368669469600/995
LCM = 370522080
Thus, we can understand that the LCM of 431,995,864,995 is 370522080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 431, 995, 864, 995
1. What is the LCM of 431, 995, 864, 995?
Answer: LCM of 431, 995, 864, 995 is 370522080.
2. How to calculate the LCM of 431, 995, 864, 995?
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 431, 995, 864, 995.
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}.