LCM of 775, 483, 183, 463, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 483, 183, 463, 897 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 775, 483, 183, 463, 897. So, keep reading to learn more.
Given numbers are 775,483,183,463,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,483,183,463,897 is 137436792675.
Find LCM of 775,483,183,463,897 with Prime Factorization
| 3 | 775, 483, 183, 463, 897 |
| 23 | 775, 161, 61, 463, 299 |
| 775, 7, 61, 463, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 775 x 7 x 61 x 463 x 13 = 137436792675
Therefore, the lowest common multiple of 775,483,183,463,897 is 137436792675.
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.
775 x 483 x 183 x 463 x 897 = 28449416083725
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.
775 : 1, 5, 25, 31, 155, 775
483 : 1, 3, 7, 21, 23, 69, 161, 483
183 : 1, 3, 61, 183
463 : 1, 463
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,483,183,463,897, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
483:3x 7x 23
183:3x 61
463:463
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 28449416083725/(1x207)
LCM = 28449416083725/207
LCM = 137436792675
Thus, we can understand that the LCM of 775,483,183,463,897 is 137436792675.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 775, 483, 183, 463, 897
1. What is the LCM of 775, 483, 183, 463, 897?
Answer: LCM of 775, 483, 183, 463, 897 is 137436792675.
2. How to calculate the LCM of 775, 483, 183, 463, 897?
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 775, 483, 183, 463, 897.
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}.