LCM of 768, 956, 871, 519, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 956, 871, 519, 128 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 768, 956, 871, 519, 128. So, keep reading to learn more.
Given numbers are 768,956,871,519,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,956,871,519,128 is 27658166016.
Find LCM of 768,956,871,519,128 with Prime Factorization
| 2 | 768, 956, 871, 519, 128 |
| 2 | 384, 478, 871, 519, 64 |
| 2 | 192, 239, 871, 519, 32 |
| 2 | 96, 239, 871, 519, 16 |
| 2 | 48, 239, 871, 519, 8 |
| 2 | 24, 239, 871, 519, 4 |
| 2 | 12, 239, 871, 519, 2 |
| 3 | 6, 239, 871, 519, 1 |
| 2, 239, 871, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 x 239 x 871 x 173 x 1 = 27658166016
Therefore, the lowest common multiple of 768,956,871,519,128 is 27658166016.
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.
768 x 956 x 871 x 519 x 128 = 42482943000576
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
956 : 1, 2, 4, 239, 478, 956
871 : 1, 13, 67, 871
519 : 1, 3, 173, 519
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,956,871,519,128, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
956:2x 2x 239
871:13x 67
519:3x 173
128:2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 42482943000576/(1x1536)
LCM = 42482943000576/1536
LCM = 27658166016
Thus, we can understand that the LCM of 768,956,871,519,128 is 27658166016.
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FAQs on LCM of 768, 956, 871, 519, 128
1. What is the LCM of 768, 956, 871, 519, 128?
Answer: LCM of 768, 956, 871, 519, 128 is 27658166016.
2. How to calculate the LCM of 768, 956, 871, 519, 128?
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 768, 956, 871, 519, 128.
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}.