LCM of 765, 804, 905, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 804, 905, 871 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 765, 804, 905, 871. So, keep reading to learn more.
Given numbers are 765,804,905,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,804,905,871 is 482412060.
Find LCM of 765,804,905,871 with Prime Factorization
| 3 | 765, 804, 905, 871 |
| 5 | 255, 268, 905, 871 |
| 67 | 51, 268, 181, 871 |
| 51, 4, 181, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 67 x 51 x 4 x 181 x 13 = 482412060
Therefore, the lowest common multiple of 765,804,905,871 is 482412060.
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.
765 x 804 x 905 x 871 = 484824120300
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
905 : 1, 5, 181, 905
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,804,905,871, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
804:2x 2x 3x 67
905:5x 181
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 67 = 1005
Therefore, the value for common factors is 1005.
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 = 484824120300/(1x1005)
LCM = 484824120300/1005
LCM = 482412060
Thus, we can understand that the LCM of 765,804,905,871 is 482412060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 804, 905, 871
1. What is the LCM of 765, 804, 905, 871?
Answer: LCM of 765, 804, 905, 871 is 482412060.
2. How to calculate the LCM of 765, 804, 905, 871?
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 765, 804, 905, 871.
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}.