LCM of 380, 732, 692, 534, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 732, 692, 534, 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 380, 732, 692, 534, 793. So, keep reading to learn more.
Given numbers are 380,732,692,534,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,732,692,534,793 is 13919195940.
Find LCM of 380,732,692,534,793 with Prime Factorization
| 2 | 380, 732, 692, 534, 793 |
| 2 | 190, 366, 346, 267, 793 |
| 3 | 95, 183, 173, 267, 793 |
| 61 | 95, 61, 173, 89, 793 |
| 95, 1, 173, 89, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 95 x 1 x 173 x 89 x 13 = 13919195940
Therefore, the lowest common multiple of 380,732,692,534,793 is 13919195940.
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.
380 x 732 x 692 x 534 x 793 = 81510811424640
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
692 : 1, 2, 4, 173, 346, 692
534 : 1, 2, 3, 6, 89, 178, 267, 534
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,732,692,534,793, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
732:2x 2x 3x 61
692:2x 2x 173
534:2x 3x 89
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.
2x 2x 2x 2x 2x 3x 61 = 5856
Therefore, the value for common factors is 5856.
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 = 81510811424640/(1x5856)
LCM = 81510811424640/5856
LCM = 13919195940
Thus, we can understand that the LCM of 380,732,692,534,793 is 13919195940.
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FAQs on LCM of 380, 732, 692, 534, 793
1. What is the LCM of 380, 732, 692, 534, 793?
Answer: LCM of 380, 732, 692, 534, 793 is 13919195940.
2. How to calculate the LCM of 380, 732, 692, 534, 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 380, 732, 692, 534, 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}.