LCM of 379, 910, 189, 663, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 910, 189, 663, 793 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 379, 910, 189, 663, 793. So, keep reading to learn more.
Given numbers are 379,910,189,663,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,910,189,663,793 is 9656575110.
Find LCM of 379,910,189,663,793 with Prime Factorization
| 3 | 379, 910, 189, 663, 793 |
| 7 | 379, 910, 63, 221, 793 |
| 13 | 379, 130, 9, 221, 793 |
| 379, 10, 9, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 379 x 10 x 9 x 17 x 61 = 9656575110
Therefore, the lowest common multiple of 379,910,189,663,793 is 9656575110.
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.
379 x 910 x 189 x 663 x 793 = 34271185065390
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.
379 : 1, 379
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
189 : 1, 3, 7, 9, 21, 27, 63, 189
663 : 1, 3, 13, 17, 39, 51, 221, 663
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,910,189,663,793, is 1.
Now, the common factors can be found like this.
379:379
910:2x 5x 7x 13
189:3x 3x 3x 7
663:3x 13x 17
793:13x 61
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 13x 13 = 3549
Therefore, the value for common factors is 3549.
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 = 34271185065390/(1x3549)
LCM = 34271185065390/3549
LCM = 9656575110
Thus, we can understand that the LCM of 379,910,189,663,793 is 9656575110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 910, 189, 663, 793
1. What is the LCM of 379, 910, 189, 663, 793?
Answer: LCM of 379, 910, 189, 663, 793 is 9656575110.
2. How to calculate the LCM of 379, 910, 189, 663, 793?
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 379, 910, 189, 663, 793.
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}.