LCM of 262, 404, 916, 505, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 404, 916, 505, 808 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, 404, 916, 505, 808. So, keep reading to learn more.
Given numbers are 262,404,916,505,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,404,916,505,808 is 121195960.
Find LCM of 262,404,916,505,808 with Prime Factorization
| 2 | 262, 404, 916, 505, 808 |
| 2 | 131, 202, 458, 505, 404 |
| 101 | 131, 101, 229, 505, 202 |
| 131, 1, 229, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 131 x 1 x 229 x 5 x 2 = 121195960
Therefore, the lowest common multiple of 262,404,916,505,808 is 121195960.
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 404 x 916 x 505 x 808 = 39562239614720
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
404 : 1, 2, 4, 101, 202, 404
916 : 1, 2, 4, 229, 458, 916
505 : 1, 5, 101, 505
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,404,916,505,808, is 1.
Now, the common factors can be found like this.
262:2x 131
404:2x 2x 101
916:2x 2x 229
505:5x 101
808:2x 2x 2x 101
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 101x 101 = 326432
Therefore, the value for common factors is 326432.
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 = 39562239614720/(1x326432)
LCM = 39562239614720/326432
LCM = 121195960
Thus, we can understand that the LCM of 262,404,916,505,808 is 121195960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 404, 916, 505, 808
1. What is the LCM of 262, 404, 916, 505, 808?
Answer: LCM of 262, 404, 916, 505, 808 is 121195960.
2. How to calculate the LCM of 262, 404, 916, 505, 808?
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, 404, 916, 505, 808.
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}.