LCM of 949, 715, 412, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 715, 412, 418 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 949, 715, 412, 418. So, keep reading to learn more.
Given numbers are 949,715,412,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,715,412,418 is 408582460.
Find LCM of 949,715,412,418 with Prime Factorization
| 2 | 949, 715, 412, 418 |
| 11 | 949, 715, 206, 209 |
| 13 | 949, 65, 206, 19 |
| 73, 5, 206, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 73 x 5 x 206 x 19 = 408582460
Therefore, the lowest common multiple of 949,715,412,418 is 408582460.
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.
949 x 715 x 412 x 418 = 116854583560
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.
949 : 1, 13, 73, 949
715 : 1, 5, 11, 13, 55, 65, 143, 715
412 : 1, 2, 4, 103, 206, 412
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,715,412,418, is 1.
Now, the common factors can be found like this.
949:13x 73
715:5x 11x 13
412:2x 2x 103
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 116854583560/(1x286)
LCM = 116854583560/286
LCM = 408582460
Thus, we can understand that the LCM of 949,715,412,418 is 408582460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 949, 715, 412, 418
1. What is the LCM of 949, 715, 412, 418?
Answer: LCM of 949, 715, 412, 418 is 408582460.
2. How to calculate the LCM of 949, 715, 412, 418?
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 949, 715, 412, 418.
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}.