LCM of 315, 608, 407, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 608, 407, 768 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, 608, 407, 768. So, keep reading to learn more.
Given numbers are 315,608,407,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,608,407,768 is 623589120.
Find LCM of 315,608,407,768 with Prime Factorization
| 2 | 315, 608, 407, 768 |
| 2 | 315, 304, 407, 384 |
| 2 | 315, 152, 407, 192 |
| 2 | 315, 76, 407, 96 |
| 2 | 315, 38, 407, 48 |
| 3 | 315, 19, 407, 24 |
| 105, 19, 407, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 105 x 19 x 407 x 8 = 623589120
Therefore, the lowest common multiple of 315,608,407,768 is 623589120.
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 608 x 407 x 768 = 59864555520
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
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
407 : 1, 11, 37, 407
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,608,407,768, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
608:2x 2x 2x 2x 2x 19
407:11x 37
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3 = 96
Therefore, the value for common factors is 96.
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 = 59864555520/(1x96)
LCM = 59864555520/96
LCM = 623589120
Thus, we can understand that the LCM of 315,608,407,768 is 623589120.
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FAQs on LCM of 315, 608, 407, 768
1. What is the LCM of 315, 608, 407, 768?
Answer: LCM of 315, 608, 407, 768 is 623589120.
2. How to calculate the LCM of 315, 608, 407, 768?
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, 608, 407, 768.
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}.