LCM of 699, 816, 296, 949, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 816, 296, 949, 901 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 699, 816, 296, 949, 901. So, keep reading to learn more.
Given numbers are 699,816,296,949,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,816,296,949,901 is 353826116592.
Find LCM of 699,816,296,949,901 with Prime Factorization
| 2 | 699, 816, 296, 949, 901 |
| 2 | 699, 408, 148, 949, 901 |
| 2 | 699, 204, 74, 949, 901 |
| 3 | 699, 102, 37, 949, 901 |
| 17 | 233, 34, 37, 949, 901 |
| 233, 2, 37, 949, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 233 x 2 x 37 x 949 x 53 = 353826116592
Therefore, the lowest common multiple of 699,816,296,949,901 is 353826116592.
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.
699 x 816 x 296 x 949 x 901 = 144361055569536
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.
699 : 1, 3, 233, 699
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
296 : 1, 2, 4, 8, 37, 74, 148, 296
949 : 1, 13, 73, 949
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,816,296,949,901, is 1.
Now, the common factors can be found like this.
699:3x 233
816:2x 2x 2x 2x 3x 17
296:2x 2x 2x 37
949:13x 73
901:17x 53
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 17 = 408
Therefore, the value for common factors is 408.
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 = 144361055569536/(1x408)
LCM = 144361055569536/408
LCM = 353826116592
Thus, we can understand that the LCM of 699,816,296,949,901 is 353826116592.
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FAQs on LCM of 699, 816, 296, 949, 901
1. What is the LCM of 699, 816, 296, 949, 901?
Answer: LCM of 699, 816, 296, 949, 901 is 353826116592.
2. How to calculate the LCM of 699, 816, 296, 949, 901?
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 699, 816, 296, 949, 901.
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}.