LCM of 262, 106, 802, 408, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 106, 802, 408, 531 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 262, 106, 802, 408, 531. So, keep reading to learn more.
Given numbers are 262,106,802,408,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,106,802,408,531 is 201059670888.
Find LCM of 262,106,802,408,531 with Prime Factorization
| 2 | 262, 106, 802, 408, 531 |
| 3 | 131, 53, 401, 204, 531 |
| 131, 53, 401, 68, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 53 x 401 x 68 x 177 = 201059670888
Therefore, the lowest common multiple of 262,106,802,408,531 is 201059670888.
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.
262 x 106 x 802 x 408 x 531 = 4825432101312
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.
262 : 1, 2, 131, 262
106 : 1, 2, 53, 106
802 : 1, 2, 401, 802
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,106,802,408,531, is 1.
Now, the common factors can be found like this.
262:2x 131
106:2x 53
802:2x 401
408:2x 2x 2x 3x 17
531:3x 3x 59
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 3 = 24
Therefore, the value for common factors is 24.
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 = 4825432101312/(1x24)
LCM = 4825432101312/24
LCM = 201059670888
Thus, we can understand that the LCM of 262,106,802,408,531 is 201059670888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 106, 802, 408, 531
1. What is the LCM of 262, 106, 802, 408, 531?
Answer: LCM of 262, 106, 802, 408, 531 is 201059670888.
2. How to calculate the LCM of 262, 106, 802, 408, 531?
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 262, 106, 802, 408, 531.
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}.