LCM of 475, 203, 986, 323, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 203, 986, 323, 827 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 475, 203, 986, 323, 827. So, keep reading to learn more.
Given numbers are 475,203,986,323,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,203,986,323,827 is 2711278150.
Find LCM of 475,203,986,323,827 with Prime Factorization
| 17 | 475, 203, 986, 323, 827 |
| 19 | 475, 203, 58, 19, 827 |
| 29 | 25, 203, 58, 1, 827 |
| 25, 7, 2, 1, 827 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 29 x 25 x 7 x 2 x 1 x 827 = 2711278150
Therefore, the lowest common multiple of 475,203,986,323,827 is 2711278150.
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.
475 x 203 x 986 x 323 x 827 = 25396542431050
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.
475 : 1, 5, 19, 25, 95, 475
203 : 1, 7, 29, 203
986 : 1, 2, 17, 29, 34, 58, 493, 986
323 : 1, 17, 19, 323
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,203,986,323,827, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
203:7x 29
986:2x 17x 29
323:17x 19
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 19x 29 = 9367
Therefore, the value for common factors is 9367.
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 = 25396542431050/(1x9367)
LCM = 25396542431050/9367
LCM = 2711278150
Thus, we can understand that the LCM of 475,203,986,323,827 is 2711278150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 475, 203, 986, 323, 827
1. What is the LCM of 475, 203, 986, 323, 827?
Answer: LCM of 475, 203, 986, 323, 827 is 2711278150.
2. How to calculate the LCM of 475, 203, 986, 323, 827?
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 475, 203, 986, 323, 827.
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}.