LCM of 369, 857, 255, 680, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 857, 255, 680, 943 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 369, 857, 255, 680, 943. So, keep reading to learn more.
Given numbers are 369,857,255,680,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,857,255,680,943 is 4945884120.
Find LCM of 369,857,255,680,943 with Prime Factorization
| 3 | 369, 857, 255, 680, 943 |
| 5 | 123, 857, 85, 680, 943 |
| 17 | 123, 857, 17, 136, 943 |
| 41 | 123, 857, 1, 8, 943 |
| 3, 857, 1, 8, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 41 x 3 x 857 x 1 x 8 x 23 = 4945884120
Therefore, the lowest common multiple of 369,857,255,680,943 is 4945884120.
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.
369 x 857 x 255 x 680 x 943 = 51709218474600
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.
369 : 1, 3, 9, 41, 123, 369
857 : 1, 857
255 : 1, 3, 5, 15, 17, 51, 85, 255
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,857,255,680,943, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
857:857
255:3x 5x 17
680:2x 2x 2x 5x 17
943:23x 41
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 17x 41 = 10455
Therefore, the value for common factors is 10455.
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 = 51709218474600/(1x10455)
LCM = 51709218474600/10455
LCM = 4945884120
Thus, we can understand that the LCM of 369,857,255,680,943 is 4945884120.
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FAQs on LCM of 369, 857, 255, 680, 943
1. What is the LCM of 369, 857, 255, 680, 943?
Answer: LCM of 369, 857, 255, 680, 943 is 4945884120.
2. How to calculate the LCM of 369, 857, 255, 680, 943?
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 369, 857, 255, 680, 943.
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}.