LCM of 378, 105, 399, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 105, 399, 515 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, 105, 399, 515. So, keep reading to learn more.
Given numbers are 378,105,399,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,105,399,515 is 3698730.
Find LCM of 378,105,399,515 with Prime Factorization
| 3 | 378, 105, 399, 515 |
| 5 | 126, 35, 133, 515 |
| 7 | 126, 7, 133, 103 |
| 18, 1, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 18 x 1 x 19 x 103 = 3698730
Therefore, the lowest common multiple of 378,105,399,515 is 3698730.
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 105 x 399 x 515 = 8155699650
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
399 : 1, 3, 7, 19, 21, 57, 133, 399
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,105,399,515, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
105:3x 5x 7
399:3x 7x 19
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 7 = 2205
Therefore, the value for common factors is 2205.
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 = 8155699650/(1x2205)
LCM = 8155699650/2205
LCM = 3698730
Thus, we can understand that the LCM of 378,105,399,515 is 3698730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 105, 399, 515
1. What is the LCM of 378, 105, 399, 515?
Answer: LCM of 378, 105, 399, 515 is 3698730.
2. How to calculate the LCM of 378, 105, 399, 515?
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, 105, 399, 515.
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}.