Find the LCM of 551, 270, 441, 697 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, 270, 441, 697. So, keep reading to learn more.
Given numbers are 551,270,441,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,270,441,697 is 5080941810.
Find LCM of 551,270,441,697 with Prime Factorization
3 | 551, 270, 441, 697 |
3 | 551, 90, 147, 697 |
551, 30, 49, 697 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 551 x 30 x 49 x 697 = 5080941810
Therefore, the lowest common multiple of 551,270,441,697 is 5080941810.
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 270 x 441 x 697 = 45728476290
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,270,441,697, is 1.
Now, the common factors can be found like this.
551:19x 29
270:2x 3x 3x 3x 5
441:3x 3x 7x 7
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 45728476290/(1x9)
LCM = 45728476290/9
LCM = 5080941810
Thus, we can understand that the LCM of 551,270,441,697 is 5080941810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 270, 441, 697?
Answer: LCM of 551, 270, 441, 697 is 5080941810.
2. How to calculate the LCM of 551, 270, 441, 697?
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, 270, 441, 697.
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}.