LCM of 768, 787, 579, 865, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 787, 579, 865, 772 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, 787, 579, 865, 772. So, keep reading to learn more.
Given numbers are 768,787,579,865,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,787,579,865,772 is 100904229120.
Find LCM of 768,787,579,865,772 with Prime Factorization
| 2 | 768, 787, 579, 865, 772 |
| 2 | 384, 787, 579, 865, 386 |
| 3 | 192, 787, 579, 865, 193 |
| 193 | 64, 787, 193, 865, 193 |
| 64, 787, 1, 865, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 64 x 787 x 1 x 865 x 1 = 100904229120
Therefore, the lowest common multiple of 768,787,579,865,772 is 100904229120.
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 787 x 579 x 865 x 772 = 233694194641920
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
787 : 1, 787
579 : 1, 3, 193, 579
865 : 1, 5, 173, 865
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,787,579,865,772, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
787:787
579:3x 193
865:5x 173
772:2x 2x 193
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 3x 193 = 2316
Therefore, the value for common factors is 2316.
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 = 233694194641920/(1x2316)
LCM = 233694194641920/2316
LCM = 100904229120
Thus, we can understand that the LCM of 768,787,579,865,772 is 100904229120.
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FAQs on LCM of 768, 787, 579, 865, 772
1. What is the LCM of 768, 787, 579, 865, 772?
Answer: LCM of 768, 787, 579, 865, 772 is 100904229120.
2. How to calculate the LCM of 768, 787, 579, 865, 772?
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, 787, 579, 865, 772.
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}.