LCM of 794, 185, 703, 372, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 185, 703, 372, 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 794, 185, 703, 372, 819. So, keep reading to learn more.
Given numbers are 794,185,703,372,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,185,703,372,819 is 141716827980.
Find LCM of 794,185,703,372,819 with Prime Factorization
| 2 | 794, 185, 703, 372, 819 |
| 3 | 397, 185, 703, 186, 819 |
| 37 | 397, 185, 703, 62, 273 |
| 397, 5, 19, 62, 273 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 397 x 5 x 19 x 62 x 273 = 141716827980
Therefore, the lowest common multiple of 794,185,703,372,819 is 141716827980.
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.
794 x 185 x 703 x 372 x 819 = 31461135811560
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.
794 : 1, 2, 397, 794
185 : 1, 5, 37, 185
703 : 1, 19, 37, 703
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
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 794,185,703,372,819, is 1.
Now, the common factors can be found like this.
794:2x 397
185:5x 37
703:19x 37
372:2x 2x 3x 31
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.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 31461135811560/(1x222)
LCM = 31461135811560/222
LCM = 141716827980
Thus, we can understand that the LCM of 794,185,703,372,819 is 141716827980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 794, 185, 703, 372, 819
1. What is the LCM of 794, 185, 703, 372, 819?
Answer: LCM of 794, 185, 703, 372, 819 is 141716827980.
2. How to calculate the LCM of 794, 185, 703, 372, 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 794, 185, 703, 372, 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}.