LCM of 378, 367, 405, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 367, 405, 378 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, 367, 405, 378. So, keep reading to learn more.
Given numbers are 378,367,405,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,367,405,378 is 2080890.
Find LCM of 378,367,405,378 with Prime Factorization
| 2 | 378, 367, 405, 378 |
| 3 | 189, 367, 405, 189 |
| 3 | 63, 367, 135, 63 |
| 3 | 21, 367, 45, 21 |
| 7 | 7, 367, 15, 7 |
| 1, 367, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 1 x 367 x 15 x 1 = 2080890
Therefore, the lowest common multiple of 378,367,405,378 is 2080890.
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 367 x 405 x 378 = 21237563340
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
367 : 1, 367
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,367,405,378, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
367:367
405:3x 3x 3x 3x 5
378:2x 3x 3x 3x 7
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 3x 3x 3x 3x 3x 7 = 10206
Therefore, the value for common factors is 10206.
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 = 21237563340/(1x10206)
LCM = 21237563340/10206
LCM = 2080890
Thus, we can understand that the LCM of 378,367,405,378 is 2080890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 367, 405, 378
1. What is the LCM of 378, 367, 405, 378?
Answer: LCM of 378, 367, 405, 378 is 2080890.
2. How to calculate the LCM of 378, 367, 405, 378?
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, 367, 405, 378.
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}.