LCM of 808, 529, 796, 429, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 529, 796, 429, 299 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 808, 529, 796, 429, 299. So, keep reading to learn more.
Given numbers are 808,529,796,429,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,529,796,429,299 is 36490297272.
Find LCM of 808,529,796,429,299 with Prime Factorization
| 2 | 808, 529, 796, 429, 299 |
| 2 | 404, 529, 398, 429, 299 |
| 13 | 202, 529, 199, 429, 299 |
| 23 | 202, 529, 199, 33, 23 |
| 202, 1, 199, 33, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 202 x 1 x 199 x 33 x 23 = 36490297272
Therefore, the lowest common multiple of 808,529,796,429,299 is 36490297272.
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.
808 x 529 x 796 x 429 x 299 = 43642395537312
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
529 : 1, 23, 529
796 : 1, 2, 4, 199, 398, 796
429 : 1, 3, 11, 13, 33, 39, 143, 429
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,529,796,429,299, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
529:23x 23
796:2x 2x 199
429:3x 11x 13
299:13x 23
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 43642395537312/(1x1196)
LCM = 43642395537312/1196
LCM = 36490297272
Thus, we can understand that the LCM of 808,529,796,429,299 is 36490297272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 529, 796, 429, 299
1. What is the LCM of 808, 529, 796, 429, 299?
Answer: LCM of 808, 529, 796, 429, 299 is 36490297272.
2. How to calculate the LCM of 808, 529, 796, 429, 299?
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 808, 529, 796, 429, 299.
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}.