LCM of 259, 816, 122, 407, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 816, 122, 407, 420 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 259, 816, 122, 407, 420. So, keep reading to learn more.
Given numbers are 259,816,122,407,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,816,122,407,420 is 709059120.
Find LCM of 259,816,122,407,420 with Prime Factorization
| 2 | 259, 816, 122, 407, 420 |
| 2 | 259, 408, 61, 407, 210 |
| 3 | 259, 204, 61, 407, 105 |
| 7 | 259, 68, 61, 407, 35 |
| 37 | 37, 68, 61, 407, 5 |
| 1, 68, 61, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 1 x 68 x 61 x 11 x 5 = 709059120
Therefore, the lowest common multiple of 259,816,122,407,420 is 709059120.
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.
259 x 816 x 122 x 407 x 420 = 4407511489920
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.
259 : 1, 7, 37, 259
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
122 : 1, 2, 61, 122
407 : 1, 11, 37, 407
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,816,122,407,420, is 1.
Now, the common factors can be found like this.
259:7x 37
816:2x 2x 2x 2x 3x 17
122:2x 61
407:11x 37
420:2x 2x 3x 5x 7
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 3x 7x 37 = 6216
Therefore, the value for common factors is 6216.
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 = 4407511489920/(1x6216)
LCM = 4407511489920/6216
LCM = 709059120
Thus, we can understand that the LCM of 259,816,122,407,420 is 709059120.
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FAQs on LCM of 259, 816, 122, 407, 420
1. What is the LCM of 259, 816, 122, 407, 420?
Answer: LCM of 259, 816, 122, 407, 420 is 709059120.
2. How to calculate the LCM of 259, 816, 122, 407, 420?
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 259, 816, 122, 407, 420.
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}.