LCM of 378, 738, 392, 793, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 738, 392, 793, 328 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 378, 738, 392, 793, 328. So, keep reading to learn more.
Given numbers are 378,738,392,793,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,738,392,793,328 is 344117592.
Find LCM of 378,738,392,793,328 with Prime Factorization
| 2 | 378, 738, 392, 793, 328 |
| 2 | 189, 369, 196, 793, 164 |
| 2 | 189, 369, 98, 793, 82 |
| 3 | 189, 369, 49, 793, 41 |
| 3 | 63, 123, 49, 793, 41 |
| 7 | 21, 41, 49, 793, 41 |
| 41 | 3, 41, 7, 793, 41 |
| 3, 1, 7, 793, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 41 x 3 x 1 x 7 x 793 x 1 = 344117592
Therefore, the lowest common multiple of 378,738,392,793,328 is 344117592.
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.
378 x 738 x 392 x 793 x 328 = 28443383684352
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
793 : 1, 13, 61, 793
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,738,392,793,328, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
738:2x 3x 3x 41
392:2x 2x 2x 7x 7
793:13x 61
328:2x 2x 2x 41
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 2x 2x 3x 3x 7x 41 = 82656
Therefore, the value for common factors is 82656.
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 = 28443383684352/(1x82656)
LCM = 28443383684352/82656
LCM = 344117592
Thus, we can understand that the LCM of 378,738,392,793,328 is 344117592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 738, 392, 793, 328
1. What is the LCM of 378, 738, 392, 793, 328?
Answer: LCM of 378, 738, 392, 793, 328 is 344117592.
2. How to calculate the LCM of 378, 738, 392, 793, 328?
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 378, 738, 392, 793, 328.
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}.