LCM of 399, 451, 960, 856, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 451, 960, 856, 732 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 399, 451, 960, 856, 732. So, keep reading to learn more.
Given numbers are 399,451,960,856,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,451,960,856,732 is 375848679360.
Find LCM of 399,451,960,856,732 with Prime Factorization
| 2 | 399, 451, 960, 856, 732 |
| 2 | 399, 451, 480, 428, 366 |
| 2 | 399, 451, 240, 214, 183 |
| 3 | 399, 451, 120, 107, 183 |
| 133, 451, 40, 107, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 133 x 451 x 40 x 107 x 61 = 375848679360
Therefore, the lowest common multiple of 399,451,960,856,732 is 375848679360.
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.
399 x 451 x 960 x 856 x 732 = 108244419655680
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
451 : 1, 11, 41, 451
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
856 : 1, 2, 4, 8, 107, 214, 428, 856
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,451,960,856,732, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
451:11x 41
960:2x 2x 2x 2x 2x 2x 3x 5
856:2x 2x 2x 107
732:2x 2x 3x 61
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 108244419655680/(1x288)
LCM = 108244419655680/288
LCM = 375848679360
Thus, we can understand that the LCM of 399,451,960,856,732 is 375848679360.
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FAQs on LCM of 399, 451, 960, 856, 732
1. What is the LCM of 399, 451, 960, 856, 732?
Answer: LCM of 399, 451, 960, 856, 732 is 375848679360.
2. How to calculate the LCM of 399, 451, 960, 856, 732?
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 399, 451, 960, 856, 732.
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}.