LCM of 864, 332, 771, 832, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 332, 771, 832, 906 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, 332, 771, 832, 906. So, keep reading to learn more.
Given numbers are 864,332,771,832,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,332,771,832,906 is 72356117184.
Find LCM of 864,332,771,832,906 with Prime Factorization
| 2 | 864, 332, 771, 832, 906 |
| 2 | 432, 166, 771, 416, 453 |
| 2 | 216, 83, 771, 208, 453 |
| 2 | 108, 83, 771, 104, 453 |
| 2 | 54, 83, 771, 52, 453 |
| 3 | 27, 83, 771, 26, 453 |
| 9, 83, 257, 26, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 9 x 83 x 257 x 26 x 151 = 72356117184
Therefore, the lowest common multiple of 864,332,771,832,906 is 72356117184.
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 332 x 771 x 832 x 906 = 166708493991936
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
332 : 1, 2, 4, 83, 166, 332
771 : 1, 3, 257, 771
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,332,771,832,906, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
332:2x 2x 83
771:3x 257
832:2x 2x 2x 2x 2x 2x 13
906:2x 3x 151
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 2x 2x 2x 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 166708493991936/(1x2304)
LCM = 166708493991936/2304
LCM = 72356117184
Thus, we can understand that the LCM of 864,332,771,832,906 is 72356117184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 864, 332, 771, 832, 906
1. What is the LCM of 864, 332, 771, 832, 906?
Answer: LCM of 864, 332, 771, 832, 906 is 72356117184.
2. How to calculate the LCM of 864, 332, 771, 832, 906?
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, 332, 771, 832, 906.
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}.