LCM of 315, 364, 960, 601, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 364, 960, 601, 478 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 315, 364, 960, 601, 478. So, keep reading to learn more.
Given numbers are 315,364,960,601,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,364,960,601,478 is 37644909120.
Find LCM of 315,364,960,601,478 with Prime Factorization
| 2 | 315, 364, 960, 601, 478 |
| 2 | 315, 182, 480, 601, 239 |
| 3 | 315, 91, 240, 601, 239 |
| 5 | 105, 91, 80, 601, 239 |
| 7 | 21, 91, 16, 601, 239 |
| 3, 13, 16, 601, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 3 x 13 x 16 x 601 x 239 = 37644909120
Therefore, the lowest common multiple of 315,364,960,601,478 is 37644909120.
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.
315 x 364 x 960 x 601 x 478 = 31621723660800
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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
601 : 1, 601
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,364,960,601,478, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
364:2x 2x 7x 13
960:2x 2x 2x 2x 2x 2x 3x 5
601:601
478:2x 239
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 31621723660800/(1x840)
LCM = 31621723660800/840
LCM = 37644909120
Thus, we can understand that the LCM of 315,364,960,601,478 is 37644909120.
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FAQs on LCM of 315, 364, 960, 601, 478
1. What is the LCM of 315, 364, 960, 601, 478?
Answer: LCM of 315, 364, 960, 601, 478 is 37644909120.
2. How to calculate the LCM of 315, 364, 960, 601, 478?
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 315, 364, 960, 601, 478.
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}.