LCM of 765, 861, 205, 917, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 861, 205, 917, 331 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, 861, 205, 917, 331. So, keep reading to learn more.
Given numbers are 765,861,205,917,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,861,205,917,331 is 9520124355.
Find LCM of 765,861,205,917,331 with Prime Factorization
| 3 | 765, 861, 205, 917, 331 |
| 5 | 255, 287, 205, 917, 331 |
| 7 | 51, 287, 41, 917, 331 |
| 41 | 51, 41, 41, 131, 331 |
| 51, 1, 1, 131, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 41 x 51 x 1 x 1 x 131 x 331 = 9520124355
Therefore, the lowest common multiple of 765,861,205,917,331 is 9520124355.
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 861 x 205 x 917 x 331 = 40984135348275
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
205 : 1, 5, 41, 205
917 : 1, 7, 131, 917
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,861,205,917,331, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
861:3x 7x 41
205:5x 41
917:7x 131
331:331
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 7x 41 = 4305
Therefore, the value for common factors is 4305.
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 = 40984135348275/(1x4305)
LCM = 40984135348275/4305
LCM = 9520124355
Thus, we can understand that the LCM of 765,861,205,917,331 is 9520124355.
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FAQs on LCM of 765, 861, 205, 917, 331
1. What is the LCM of 765, 861, 205, 917, 331?
Answer: LCM of 765, 861, 205, 917, 331 is 9520124355.
2. How to calculate the LCM of 765, 861, 205, 917, 331?
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, 861, 205, 917, 331.
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}.