LCM of 391, 949, 442, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 949, 442, 499 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 391, 949, 442, 499. So, keep reading to learn more.
Given numbers are 391,949,442,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,949,442,499 is 370316882.
Find LCM of 391,949,442,499 with Prime Factorization
| 13 | 391, 949, 442, 499 |
| 17 | 391, 73, 34, 499 |
| 23, 73, 2, 499 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 23 x 73 x 2 x 499 = 370316882
Therefore, the lowest common multiple of 391,949,442,499 is 370316882.
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.
391 x 949 x 442 x 499 = 81840030922
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.
391 : 1, 17, 23, 391
949 : 1, 13, 73, 949
442 : 1, 2, 13, 17, 26, 34, 221, 442
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,949,442,499, is 1.
Now, the common factors can be found like this.
391:17x 23
949:13x 73
442:2x 13x 17
499:499
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 = 81840030922/(1x221)
LCM = 81840030922/221
LCM = 370316882
Thus, we can understand that the LCM of 391,949,442,499 is 370316882.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 949, 442, 499
1. What is the LCM of 391, 949, 442, 499?
Answer: LCM of 391, 949, 442, 499 is 370316882.
2. How to calculate the LCM of 391, 949, 442, 499?
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 391, 949, 442, 499.
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}.