Find the LCM of 551, 696, 795, 855 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 551, 696, 795, 855. So, keep reading to learn more.
Given numbers are 551,696,795,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,696,795,855 is 10513080.
Find LCM of 551,696,795,855 with Prime Factorization
3 | 551, 696, 795, 855 |
5 | 551, 232, 265, 285 |
19 | 551, 232, 53, 57 |
29 | 29, 232, 53, 3 |
1, 8, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 29 x 1 x 8 x 53 x 3 = 10513080
Therefore, the lowest common multiple of 551,696,795,855 is 10513080.
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.
551 x 696 x 795 x 855 = 260671818600
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.
551 : 1, 19, 29, 551
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
795 : 1, 3, 5, 15, 53, 159, 265, 795
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,696,795,855, is 1.
Now, the common factors can be found like this.
551:19x 29
696:2x 2x 2x 3x 29
795:3x 5x 53
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19x 29 = 24795
Therefore, the value for common factors is 24795.
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 = 260671818600/(1x24795)
LCM = 260671818600/24795
LCM = 10513080
Thus, we can understand that the LCM of 551,696,795,855 is 10513080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 696, 795, 855?
Answer: LCM of 551, 696, 795, 855 is 10513080.
2. How to calculate the LCM of 551, 696, 795, 855?
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 551, 696, 795, 855.
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}.