Find the LCM of 380, 378, 792, 741, 612 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, 378, 792, 741, 612. So, keep reading to learn more.
Given numbers are 380,378,792,741,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,378,792,741,612 is 349188840.
Find LCM of 380,378,792,741,612 with Prime Factorization
2 | 380, 378, 792, 741, 612 |
2 | 190, 189, 396, 741, 306 |
3 | 95, 189, 198, 741, 153 |
3 | 95, 63, 66, 247, 51 |
19 | 95, 21, 22, 247, 17 |
5, 21, 22, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 5 x 21 x 22 x 13 x 17 = 349188840
Therefore, the lowest common multiple of 380,378,792,741,612 is 349188840.
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 378 x 792 x 741 x 612 = 51590555976960
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
741 : 1, 3, 13, 19, 39, 57, 247, 741
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,378,792,741,612, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
378:2x 3x 3x 3x 7
792:2x 2x 2x 3x 3x 11
741:3x 13x 19
612:2x 2x 3x 3x 17
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 3x 3x 3x 19 = 147744
Therefore, the value for common factors is 147744.
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 = 51590555976960/(1x147744)
LCM = 51590555976960/147744
LCM = 349188840
Thus, we can understand that the LCM of 380,378,792,741,612 is 349188840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 378, 792, 741, 612?
Answer: LCM of 380, 378, 792, 741, 612 is 349188840.
2. How to calculate the LCM of 380, 378, 792, 741, 612?
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, 378, 792, 741, 612.
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}.