LCM of 957, 306, 762, 858, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 306, 762, 858, 864 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 957, 306, 762, 858, 864. So, keep reading to learn more.
Given numbers are 957,306,762,858,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,306,762,858,864 is 7735714272.
Find LCM of 957,306,762,858,864 with Prime Factorization
| 2 | 957, 306, 762, 858, 864 |
| 3 | 957, 153, 381, 429, 432 |
| 3 | 319, 51, 127, 143, 144 |
| 11 | 319, 17, 127, 143, 48 |
| 29, 17, 127, 13, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 29 x 17 x 127 x 13 x 48 = 7735714272
Therefore, the lowest common multiple of 957,306,762,858,864 is 7735714272.
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.
957 x 306 x 762 x 858 x 864 = 165420513992448
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
762 : 1, 2, 3, 6, 127, 254, 381, 762
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,306,762,858,864, is 3.
Now, the common factors can be found like this.
957:3x 11x 29
306:2x 3x 3x 17
762:2x 3x 127
858:2x 3x 11x 13
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 165420513992448/(3x7128)
LCM = 165420513992448/21384
LCM = 7735714272
Thus, we can understand that the LCM of 957,306,762,858,864 is 7735714272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 957, 306, 762, 858, 864
1. What is the LCM of 957, 306, 762, 858, 864?
Answer: LCM of 957, 306, 762, 858, 864 is 7735714272.
2. How to calculate the LCM of 957, 306, 762, 858, 864?
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 957, 306, 762, 858, 864.
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}.