LCM of 765, 843, 414, 667, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 843, 414, 667, 230 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, 843, 414, 667, 230. So, keep reading to learn more.
Given numbers are 765,843,414,667,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,843,414,667,230 is 286763310.
Find LCM of 765,843,414,667,230 with Prime Factorization
| 2 | 765, 843, 414, 667, 230 |
| 3 | 765, 843, 207, 667, 115 |
| 3 | 255, 281, 69, 667, 115 |
| 5 | 85, 281, 23, 667, 115 |
| 23 | 17, 281, 23, 667, 23 |
| 17, 281, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 17 x 281 x 1 x 29 x 1 = 286763310
Therefore, the lowest common multiple of 765,843,414,667,230 is 286763310.
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 843 x 414 x 667 x 230 = 40958403567300
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
843 : 1, 3, 281, 843
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
667 : 1, 23, 29, 667
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,843,414,667,230, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
843:3x 281
414:2x 3x 3x 23
667:23x 29
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 23x 23 = 142830
Therefore, the value for common factors is 142830.
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 = 40958403567300/(1x142830)
LCM = 40958403567300/142830
LCM = 286763310
Thus, we can understand that the LCM of 765,843,414,667,230 is 286763310.
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FAQs on LCM of 765, 843, 414, 667, 230
1. What is the LCM of 765, 843, 414, 667, 230?
Answer: LCM of 765, 843, 414, 667, 230 is 286763310.
2. How to calculate the LCM of 765, 843, 414, 667, 230?
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, 843, 414, 667, 230.
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}.