LCM of 993, 819, 749, 256, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 819, 749, 256, 741 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 993, 819, 749, 256, 741. So, keep reading to learn more.
Given numbers are 993,819,749,256,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,819,749,256,741 is 141087727872.
Find LCM of 993,819,749,256,741 with Prime Factorization
| 3 | 993, 819, 749, 256, 741 |
| 7 | 331, 273, 749, 256, 247 |
| 13 | 331, 39, 107, 256, 247 |
| 331, 3, 107, 256, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 331 x 3 x 107 x 256 x 19 = 141087727872
Therefore, the lowest common multiple of 993,819,749,256,741 is 141087727872.
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.
993 x 819 x 749 x 256 x 741 = 115550849127168
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.
993 : 1, 3, 331, 993
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
749 : 1, 7, 107, 749
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,819,749,256,741, is 1.
Now, the common factors can be found like this.
993:3x 331
819:3x 3x 7x 13
749:7x 107
256:2x 2x 2x 2x 2x 2x 2x 2
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 13 = 819
Therefore, the value for common factors is 819.
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 = 115550849127168/(1x819)
LCM = 115550849127168/819
LCM = 141087727872
Thus, we can understand that the LCM of 993,819,749,256,741 is 141087727872.
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FAQs on LCM of 993, 819, 749, 256, 741
1. What is the LCM of 993, 819, 749, 256, 741?
Answer: LCM of 993, 819, 749, 256, 741 is 141087727872.
2. How to calculate the LCM of 993, 819, 749, 256, 741?
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 993, 819, 749, 256, 741.
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}.