LCM of 726, 105, 583, 905, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 105, 583, 905, 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 726, 105, 583, 905, 442. So, keep reading to learn more.
Given numbers are 726,105,583,905,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,105,583,905,442 is 53870546730.
Find LCM of 726,105,583,905,442 with Prime Factorization
| 2 | 726, 105, 583, 905, 442 |
| 3 | 363, 105, 583, 905, 221 |
| 5 | 121, 35, 583, 905, 221 |
| 11 | 121, 7, 583, 181, 221 |
| 11, 7, 53, 181, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 11 x 7 x 53 x 181 x 221 = 53870546730
Therefore, the lowest common multiple of 726,105,583,905,442 is 53870546730.
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.
726 x 105 x 583 x 905 x 442 = 17777280420900
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
105 : 1, 3, 5, 7, 15, 21, 35, 105
583 : 1, 11, 53, 583
905 : 1, 5, 181, 905
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 726,105,583,905,442, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
105:3x 5x 7
583:11x 53
905:5x 181
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 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 17777280420900/(1x330)
LCM = 17777280420900/330
LCM = 53870546730
Thus, we can understand that the LCM of 726,105,583,905,442 is 53870546730.
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FAQs on LCM of 726, 105, 583, 905, 442
1. What is the LCM of 726, 105, 583, 905, 442?
Answer: LCM of 726, 105, 583, 905, 442 is 53870546730.
2. How to calculate the LCM of 726, 105, 583, 905, 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 726, 105, 583, 905, 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}.