Find the LCM of 808, 551, 536, 429, 759 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, 551, 536, 429, 759. So, keep reading to learn more.
Given numbers are 808,551,536,429,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,551,536,429,759 is 294322111512.
Find LCM of 808,551,536,429,759 with Prime Factorization
2 | 808, 551, 536, 429, 759 |
2 | 404, 551, 268, 429, 759 |
2 | 202, 551, 134, 429, 759 |
3 | 101, 551, 67, 429, 759 |
11 | 101, 551, 67, 143, 253 |
101, 551, 67, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 101 x 551 x 67 x 13 x 23 = 294322111512
Therefore, the lowest common multiple of 808,551,536,429,759 is 294322111512.
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 551 x 536 x 429 x 759 = 77701037439168
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
551 : 1, 19, 29, 551
536 : 1, 2, 4, 8, 67, 134, 268, 536
429 : 1, 3, 11, 13, 33, 39, 143, 429
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,551,536,429,759, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
551:19x 29
536:2x 2x 2x 67
429:3x 11x 13
759:3x 11x 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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 77701037439168/(1x264)
LCM = 77701037439168/264
LCM = 294322111512
Thus, we can understand that the LCM of 808,551,536,429,759 is 294322111512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 551, 536, 429, 759?
Answer: LCM of 808, 551, 536, 429, 759 is 294322111512.
2. How to calculate the LCM of 808, 551, 536, 429, 759?
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, 551, 536, 429, 759.
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}.