Find the LCM of 551, 531, 731, 170 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, 531, 731, 170. So, keep reading to learn more.
Given numbers are 551,531,731,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,531,731,170 is 2138767110.
Find LCM of 551,531,731,170 with Prime Factorization
17 | 551, 531, 731, 170 |
551, 531, 43, 10 |
Multiply the prime numbers at the bottom and the left side.
17 x 551 x 531 x 43 x 10 = 2138767110
Therefore, the lowest common multiple of 551,531,731,170 is 2138767110.
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 531 x 731 x 170 = 36359040870
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
531 : 1, 3, 9, 59, 177, 531
731 : 1, 17, 43, 731
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,531,731,170, is 1.
Now, the common factors can be found like this.
551:19x 29
531:3x 3x 59
731:17x 43
170:2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 36359040870/(1x17)
LCM = 36359040870/17
LCM = 2138767110
Thus, we can understand that the LCM of 551,531,731,170 is 2138767110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 531, 731, 170?
Answer: LCM of 551, 531, 731, 170 is 2138767110.
2. How to calculate the LCM of 551, 531, 731, 170?
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, 531, 731, 170.
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}.