LCM of 458, 715, 884, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 458, 715, 884, 442 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 458, 715, 884, 442. So, keep reading to learn more.
Given numbers are 458,715,884,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,715,884,442 is 11133980.
Find LCM of 458,715,884,442 with Prime Factorization
| 2 | 458, 715, 884, 442 |
| 13 | 229, 715, 442, 221 |
| 17 | 229, 55, 34, 17 |
| 229, 55, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 229 x 55 x 2 x 1 = 11133980
Therefore, the lowest common multiple of 458,715,884,442 is 11133980.
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.
458 x 715 x 884 x 442 = 127951698160
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.
458 : 1, 2, 229, 458
715 : 1, 5, 11, 13, 55, 65, 143, 715
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,715,884,442, is 1.
Now, the common factors can be found like this.
458:2x 229
715:5x 11x 13
884:2x 2x 13x 17
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 13x 17 = 11492
Therefore, the value for common factors is 11492.
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 = 127951698160/(1x11492)
LCM = 127951698160/11492
LCM = 11133980
Thus, we can understand that the LCM of 458,715,884,442 is 11133980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 458, 715, 884, 442
1. What is the LCM of 458, 715, 884, 442?
Answer: LCM of 458, 715, 884, 442 is 11133980.
2. How to calculate the LCM of 458, 715, 884, 442?
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 458, 715, 884, 442.
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}.