LCM of 409, 527, 858, 629, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 527, 858, 629, 949 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 409, 527, 858, 629, 949. So, keep reading to learn more.
Given numbers are 409,527,858,629,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,527,858,629,949 is 499511849694.
Find LCM of 409,527,858,629,949 with Prime Factorization
| 13 | 409, 527, 858, 629, 949 |
| 17 | 409, 527, 66, 629, 73 |
| 409, 31, 66, 37, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 409 x 31 x 66 x 37 x 73 = 499511849694
Therefore, the lowest common multiple of 409,527,858,629,949 is 499511849694.
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.
409 x 527 x 858 x 629 x 949 = 110392118782374
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.
409 : 1, 409
527 : 1, 17, 31, 527
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
629 : 1, 17, 37, 629
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,527,858,629,949, is 1.
Now, the common factors can be found like this.
409:409
527:17x 31
858:2x 3x 11x 13
629:17x 37
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 110392118782374/(1x221)
LCM = 110392118782374/221
LCM = 499511849694
Thus, we can understand that the LCM of 409,527,858,629,949 is 499511849694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 527, 858, 629, 949
1. What is the LCM of 409, 527, 858, 629, 949?
Answer: LCM of 409, 527, 858, 629, 949 is 499511849694.
2. How to calculate the LCM of 409, 527, 858, 629, 949?
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 409, 527, 858, 629, 949.
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}.