LCM of 321, 915, 365, 803, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 915, 365, 803, 992 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 321, 915, 365, 803, 992. So, keep reading to learn more.
Given numbers are 321,915,365,803,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,915,365,803,992 is 77988773280.
Find LCM of 321,915,365,803,992 with Prime Factorization
| 3 | 321, 915, 365, 803, 992 |
| 5 | 107, 305, 365, 803, 992 |
| 73 | 107, 61, 73, 803, 992 |
| 107, 61, 1, 11, 992 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 73 x 107 x 61 x 1 x 11 x 992 = 77988773280
Therefore, the lowest common multiple of 321,915,365,803,992 is 77988773280.
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.
321 x 915 x 365 x 803 x 992 = 85397706741600
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.
321 : 1, 3, 107, 321
915 : 1, 3, 5, 15, 61, 183, 305, 915
365 : 1, 5, 73, 365
803 : 1, 11, 73, 803
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,915,365,803,992, is 1.
Now, the common factors can be found like this.
321:3x 107
915:3x 5x 61
365:5x 73
803:11x 73
992:2x 2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 73 = 1095
Therefore, the value for common factors is 1095.
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 = 85397706741600/(1x1095)
LCM = 85397706741600/1095
LCM = 77988773280
Thus, we can understand that the LCM of 321,915,365,803,992 is 77988773280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 915, 365, 803, 992
1. What is the LCM of 321, 915, 365, 803, 992?
Answer: LCM of 321, 915, 365, 803, 992 is 77988773280.
2. How to calculate the LCM of 321, 915, 365, 803, 992?
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 321, 915, 365, 803, 992.
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}.