LCM of 999, 109, 103, 721, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 109, 103, 721, 308 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 999, 109, 103, 721, 308. So, keep reading to learn more.
Given numbers are 999,109,103,721,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,109,103,721,308 is 3454458084.
Find LCM of 999,109,103,721,308 with Prime Factorization
| 7 | 999, 109, 103, 721, 308 |
| 103 | 999, 109, 103, 103, 44 |
| 999, 109, 1, 1, 44 |
Multiply the prime numbers at the bottom and the left side.
7 x 103 x 999 x 109 x 1 x 1 x 44 = 3454458084
Therefore, the lowest common multiple of 999,109,103,721,308 is 3454458084.
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.
999 x 109 x 103 x 721 x 308 = 2490664278564
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
109 : 1, 109
103 : 1, 103
721 : 1, 7, 103, 721
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,109,103,721,308, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
109:109
103:103
721:7x 103
308:2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 103 = 721
Therefore, the value for common factors is 721.
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 = 2490664278564/(1x721)
LCM = 2490664278564/721
LCM = 3454458084
Thus, we can understand that the LCM of 999,109,103,721,308 is 3454458084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 999, 109, 103, 721, 308
1. What is the LCM of 999, 109, 103, 721, 308?
Answer: LCM of 999, 109, 103, 721, 308 is 3454458084.
2. How to calculate the LCM of 999, 109, 103, 721, 308?
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 999, 109, 103, 721, 308.
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}.