LCM of 807, 845, 942, 351, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 845, 942, 351, 755 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 807, 845, 942, 351, 755. So, keep reading to learn more.
Given numbers are 807,845,942,351,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,845,942,351,755 is 290990860290.
Find LCM of 807,845,942,351,755 with Prime Factorization
| 3 | 807, 845, 942, 351, 755 |
| 5 | 269, 845, 314, 117, 755 |
| 13 | 269, 169, 314, 117, 151 |
| 269, 13, 314, 9, 151 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 269 x 13 x 314 x 9 x 151 = 290990860290
Therefore, the lowest common multiple of 807,845,942,351,755 is 290990860290.
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.
807 x 845 x 942 x 351 x 755 = 170229653269650
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.
807 : 1, 3, 269, 807
845 : 1, 5, 13, 65, 169, 845
942 : 1, 2, 3, 6, 157, 314, 471, 942
351 : 1, 3, 9, 13, 27, 39, 117, 351
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,845,942,351,755, is 1.
Now, the common factors can be found like this.
807:3x 269
845:5x 13x 13
942:2x 3x 157
351:3x 3x 3x 13
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 170229653269650/(1x585)
LCM = 170229653269650/585
LCM = 290990860290
Thus, we can understand that the LCM of 807,845,942,351,755 is 290990860290.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 807, 845, 942, 351, 755
1. What is the LCM of 807, 845, 942, 351, 755?
Answer: LCM of 807, 845, 942, 351, 755 is 290990860290.
2. How to calculate the LCM of 807, 845, 942, 351, 755?
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 807, 845, 942, 351, 755.
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}.