LCM of 769, 284, 311, 775, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 284, 311, 775, 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 769, 284, 311, 775, 355. So, keep reading to learn more.
Given numbers are 769,284,311,775,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,284,311,775,355 is 52638895900.
Find LCM of 769,284,311,775,355 with Prime Factorization
| 5 | 769, 284, 311, 775, 355 |
| 71 | 769, 284, 311, 155, 71 |
| 769, 4, 311, 155, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 71 x 769 x 4 x 311 x 155 x 1 = 52638895900
Therefore, the lowest common multiple of 769,284,311,775,355 is 52638895900.
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.
769 x 284 x 311 x 775 x 355 = 18686808044500
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.
769 : 1, 769
284 : 1, 2, 4, 71, 142, 284
311 : 1, 311
775 : 1, 5, 25, 31, 155, 775
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,284,311,775,355, is 1.
Now, the common factors can be found like this.
769:769
284:2x 2x 71
311:311
775:5x 5x 31
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.
5x 71 = 355
Therefore, the value for common factors is 355.
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 = 18686808044500/(1x355)
LCM = 18686808044500/355
LCM = 52638895900
Thus, we can understand that the LCM of 769,284,311,775,355 is 52638895900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 284, 311, 775, 355
1. What is the LCM of 769, 284, 311, 775, 355?
Answer: LCM of 769, 284, 311, 775, 355 is 52638895900.
2. How to calculate the LCM of 769, 284, 311, 775, 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 769, 284, 311, 775, 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}.