LCM of 864, 321, 940, 915, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 321, 940, 915, 830 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 864, 321, 940, 915, 830. So, keep reading to learn more.
Given numbers are 864,321,940,915,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,321,940,915,830 is 109995092640.
Find LCM of 864,321,940,915,830 with Prime Factorization
| 2 | 864, 321, 940, 915, 830 |
| 2 | 432, 321, 470, 915, 415 |
| 3 | 216, 321, 235, 915, 415 |
| 5 | 72, 107, 235, 305, 415 |
| 72, 107, 47, 61, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 72 x 107 x 47 x 61 x 83 = 109995092640
Therefore, the lowest common multiple of 864,321,940,915,830 is 109995092640.
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.
864 x 321 x 940 x 915 x 830 = 197991166752000
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.
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
321 : 1, 3, 107, 321
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
915 : 1, 3, 5, 15, 61, 183, 305, 915
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,321,940,915,830, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
321:3x 107
940:2x 2x 5x 47
915:3x 5x 61
830:2x 5x 83
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 2x 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 197991166752000/(1x1800)
LCM = 197991166752000/1800
LCM = 109995092640
Thus, we can understand that the LCM of 864,321,940,915,830 is 109995092640.
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FAQs on LCM of 864, 321, 940, 915, 830
1. What is the LCM of 864, 321, 940, 915, 830?
Answer: LCM of 864, 321, 940, 915, 830 is 109995092640.
2. How to calculate the LCM of 864, 321, 940, 915, 830?
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 864, 321, 940, 915, 830.
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}.