LCM of 996, 568, 716, 768, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 568, 716, 768, 355 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 996, 568, 716, 768, 355. So, keep reading to learn more.
Given numbers are 996,568,716,768,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,568,716,768,355 is 4050612480.
Find LCM of 996,568,716,768,355 with Prime Factorization
| 2 | 996, 568, 716, 768, 355 |
| 2 | 498, 284, 358, 384, 355 |
| 2 | 249, 142, 179, 192, 355 |
| 3 | 249, 71, 179, 96, 355 |
| 71 | 83, 71, 179, 32, 355 |
| 83, 1, 179, 32, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 71 x 83 x 1 x 179 x 32 x 5 = 4050612480
Therefore, the lowest common multiple of 996,568,716,768,355 is 4050612480.
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.
996 x 568 x 716 x 768 x 355 = 110435898654720
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
568 : 1, 2, 4, 8, 71, 142, 284, 568
716 : 1, 2, 4, 179, 358, 716
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,568,716,768,355, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
568:2x 2x 2x 71
716:2x 2x 179
768:2x 2x 2x 2x 2x 2x 2x 2x 3
355:5x 71
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 3x 71 = 27264
Therefore, the value for common factors is 27264.
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 = 110435898654720/(1x27264)
LCM = 110435898654720/27264
LCM = 4050612480
Thus, we can understand that the LCM of 996,568,716,768,355 is 4050612480.
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FAQs on LCM of 996, 568, 716, 768, 355
1. What is the LCM of 996, 568, 716, 768, 355?
Answer: LCM of 996, 568, 716, 768, 355 is 4050612480.
2. How to calculate the LCM of 996, 568, 716, 768, 355?
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 996, 568, 716, 768, 355.
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}.