LCM of 442, 824, 221, 806, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 824, 221, 806, 313 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 442, 824, 221, 806, 313. So, keep reading to learn more.
Given numbers are 442,824,221,806,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,824,221,806,313 is 1766955112.
Find LCM of 442,824,221,806,313 with Prime Factorization
| 2 | 442, 824, 221, 806, 313 |
| 13 | 221, 412, 221, 403, 313 |
| 17 | 17, 412, 17, 31, 313 |
| 1, 412, 1, 31, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 1 x 412 x 1 x 31 x 313 = 1766955112
Therefore, the lowest common multiple of 442,824,221,806,313 is 1766955112.
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.
442 x 824 x 221 x 806 x 313 = 20305848147104
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
824 : 1, 2, 4, 8, 103, 206, 412, 824
221 : 1, 13, 17, 221
806 : 1, 2, 13, 26, 31, 62, 403, 806
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,824,221,806,313, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
824:2x 2x 2x 103
221:13x 17
806:2x 13x 31
313:313
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 = 20305848147104/(1x11492)
LCM = 20305848147104/11492
LCM = 1766955112
Thus, we can understand that the LCM of 442,824,221,806,313 is 1766955112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 824, 221, 806, 313
1. What is the LCM of 442, 824, 221, 806, 313?
Answer: LCM of 442, 824, 221, 806, 313 is 1766955112.
2. How to calculate the LCM of 442, 824, 221, 806, 313?
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 442, 824, 221, 806, 313.
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}.