LCM of 388, 463, 508, 300, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 463, 508, 300, 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 388, 463, 508, 300, 768. So, keep reading to learn more.
Given numbers are 388,463,508,300,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,463,508,300,768 is 109510982400.
Find LCM of 388,463,508,300,768 with Prime Factorization
| 2 | 388, 463, 508, 300, 768 |
| 2 | 194, 463, 254, 150, 384 |
| 3 | 97, 463, 127, 75, 192 |
| 97, 463, 127, 25, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 97 x 463 x 127 x 25 x 64 = 109510982400
Therefore, the lowest common multiple of 388,463,508,300,768 is 109510982400.
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.
388 x 463 x 508 x 300 x 768 = 21026108620800
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.
388 : 1, 2, 4, 97, 194, 388
463 : 1, 463
508 : 1, 2, 4, 127, 254, 508
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 388,463,508,300,768, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
463:463
508:2x 2x 127
300:2x 2x 3x 5x 5
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 21026108620800/(1x192)
LCM = 21026108620800/192
LCM = 109510982400
Thus, we can understand that the LCM of 388,463,508,300,768 is 109510982400.
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FAQs on LCM of 388, 463, 508, 300, 768
1. What is the LCM of 388, 463, 508, 300, 768?
Answer: LCM of 388, 463, 508, 300, 768 is 109510982400.
2. How to calculate the LCM of 388, 463, 508, 300, 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 388, 463, 508, 300, 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}.