LCM of 616, 723, 408, 774, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 723, 408, 774, 259 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 616, 723, 408, 774, 259. So, keep reading to learn more.
Given numbers are 616,723,408,774,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,723,408,774,259 is 36137604888.
Find LCM of 616,723,408,774,259 with Prime Factorization
| 2 | 616, 723, 408, 774, 259 |
| 2 | 308, 723, 204, 387, 259 |
| 2 | 154, 723, 102, 387, 259 |
| 3 | 77, 723, 51, 387, 259 |
| 7 | 77, 241, 17, 129, 259 |
| 11, 241, 17, 129, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 241 x 17 x 129 x 37 = 36137604888
Therefore, the lowest common multiple of 616,723,408,774,259 is 36137604888.
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.
616 x 723 x 408 x 774 x 259 = 36426705727104
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
723 : 1, 3, 241, 723
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,723,408,774,259, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
723:3x 241
408:2x 2x 2x 3x 17
774:2x 3x 3x 43
259:7x 37
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 36426705727104/(1x1008)
LCM = 36426705727104/1008
LCM = 36137604888
Thus, we can understand that the LCM of 616,723,408,774,259 is 36137604888.
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FAQs on LCM of 616, 723, 408, 774, 259
1. What is the LCM of 616, 723, 408, 774, 259?
Answer: LCM of 616, 723, 408, 774, 259 is 36137604888.
2. How to calculate the LCM of 616, 723, 408, 774, 259?
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 616, 723, 408, 774, 259.
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}.