LCM of 816, 588, 726, 119, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 588, 726, 119, 616 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 816, 588, 726, 119, 616. So, keep reading to learn more.
Given numbers are 816,588,726,119,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,588,726,119,616 is 4838064.
Find LCM of 816,588,726,119,616 with Prime Factorization
| 2 | 816, 588, 726, 119, 616 |
| 2 | 408, 294, 363, 119, 308 |
| 2 | 204, 147, 363, 119, 154 |
| 3 | 102, 147, 363, 119, 77 |
| 7 | 34, 49, 121, 119, 77 |
| 11 | 34, 7, 121, 17, 11 |
| 17 | 34, 7, 1, 17, 11 |
| 2, 7, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 17 x 2 x 7 x 1 x 1 x 11 = 4838064
Therefore, the lowest common multiple of 816,588,726,119,616 is 4838064.
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.
816 x 588 x 726 x 119 x 616 = 25534759928832
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
119 : 1, 7, 17, 119
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,588,726,119,616, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
588:2x 2x 3x 7x 7
726:2x 3x 11x 11
119:7x 17
616:2x 2x 2x 7x 11
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 2x 2x 2x 2x 3x 3x 7x 7x 11x 17 = 5277888
Therefore, the value for common factors is 5277888.
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 = 25534759928832/(1x5277888)
LCM = 25534759928832/5277888
LCM = 4838064
Thus, we can understand that the LCM of 816,588,726,119,616 is 4838064.
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FAQs on LCM of 816, 588, 726, 119, 616
1. What is the LCM of 816, 588, 726, 119, 616?
Answer: LCM of 816, 588, 726, 119, 616 is 4838064.
2. How to calculate the LCM of 816, 588, 726, 119, 616?
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 816, 588, 726, 119, 616.
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}.