LCM of 721, 343, 501, 383, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 343, 501, 383, 819 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 721, 343, 501, 383, 819. So, keep reading to learn more.
Given numbers are 721,343,501,383,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,343,501,383,819 is 264382345773.
Find LCM of 721,343,501,383,819 with Prime Factorization
| 3 | 721, 343, 501, 383, 819 |
| 7 | 721, 343, 167, 383, 273 |
| 103, 49, 167, 383, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 103 x 49 x 167 x 383 x 39 = 264382345773
Therefore, the lowest common multiple of 721,343,501,383,819 is 264382345773.
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.
721 x 343 x 501 x 383 x 819 = 38864204828631
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.
721 : 1, 7, 103, 721
343 : 1, 7, 49, 343
501 : 1, 3, 167, 501
383 : 1, 383
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,343,501,383,819, is 1.
Now, the common factors can be found like this.
721:7x 103
343:7x 7x 7
501:3x 167
383:383
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 38864204828631/(1x147)
LCM = 38864204828631/147
LCM = 264382345773
Thus, we can understand that the LCM of 721,343,501,383,819 is 264382345773.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 343, 501, 383, 819
1. What is the LCM of 721, 343, 501, 383, 819?
Answer: LCM of 721, 343, 501, 383, 819 is 264382345773.
2. How to calculate the LCM of 721, 343, 501, 383, 819?
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 721, 343, 501, 383, 819.
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}.