LCM of 765, 986, 415, 173, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 986, 415, 173, 832 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, 986, 415, 173, 832. So, keep reading to learn more.
Given numbers are 765,986,415,173,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,986,415,173,832 is 265037273280.
Find LCM of 765,986,415,173,832 with Prime Factorization
| 2 | 765, 986, 415, 173, 832 |
| 5 | 765, 493, 415, 173, 416 |
| 17 | 153, 493, 83, 173, 416 |
| 9, 29, 83, 173, 416 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 9 x 29 x 83 x 173 x 416 = 265037273280
Therefore, the lowest common multiple of 765,986,415,173,832 is 265037273280.
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 986 x 415 x 173 x 832 = 45056336457600
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
415 : 1, 5, 83, 415
173 : 1, 173
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,986,415,173,832, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
986:2x 17x 29
415:5x 83
173:173
832:2x 2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 45056336457600/(1x170)
LCM = 45056336457600/170
LCM = 265037273280
Thus, we can understand that the LCM of 765,986,415,173,832 is 265037273280.
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FAQs on LCM of 765, 986, 415, 173, 832
1. What is the LCM of 765, 986, 415, 173, 832?
Answer: LCM of 765, 986, 415, 173, 832 is 265037273280.
2. How to calculate the LCM of 765, 986, 415, 173, 832?
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, 986, 415, 173, 832.
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}.