LCM of 347, 378, 960, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 378, 960, 315 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 347, 378, 960, 315. So, keep reading to learn more.
Given numbers are 347,378,960,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,378,960,315 is 20986560.
Find LCM of 347,378,960,315 with Prime Factorization
| 2 | 347, 378, 960, 315 |
| 3 | 347, 189, 480, 315 |
| 3 | 347, 63, 160, 105 |
| 5 | 347, 21, 160, 35 |
| 7 | 347, 21, 32, 7 |
| 347, 3, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 347 x 3 x 32 x 1 = 20986560
Therefore, the lowest common multiple of 347,378,960,315 is 20986560.
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.
347 x 378 x 960 x 315 = 39664598400
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.
347 : 1, 347
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,378,960,315, is 1.
Now, the common factors can be found like this.
347:347
378:2x 3x 3x 3x 7
960:2x 2x 2x 2x 2x 2x 3x 5
315:3x 3x 5x 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 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 39664598400/(1x1890)
LCM = 39664598400/1890
LCM = 20986560
Thus, we can understand that the LCM of 347,378,960,315 is 20986560.
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FAQs on LCM of 347, 378, 960, 315
1. What is the LCM of 347, 378, 960, 315?
Answer: LCM of 347, 378, 960, 315 is 20986560.
2. How to calculate the LCM of 347, 378, 960, 315?
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 347, 378, 960, 315.
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}.