Find the LCM of 275, 649, 531, 723, 531 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 275, 649, 531, 723, 531. So, keep reading to learn more.
Given numbers are 275,649,531,723,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,649,531,723,531 is 35192025.
Find LCM of 275,649,531,723,531 with Prime Factorization
3 | 275, 649, 531, 723, 531 |
3 | 275, 649, 177, 241, 177 |
11 | 275, 649, 59, 241, 59 |
59 | 25, 59, 59, 241, 59 |
25, 1, 1, 241, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 59 x 25 x 1 x 1 x 241 x 1 = 35192025
Therefore, the lowest common multiple of 275,649,531,723,531 is 35192025.
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.
275 x 649 x 531 x 723 x 531 = 36383521390425
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.
275 : 1, 5, 11, 25, 55, 275
649 : 1, 11, 59, 649
531 : 1, 3, 9, 59, 177, 531
723 : 1, 3, 241, 723
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,649,531,723,531, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
649:11x 59
531:3x 3x 59
723:3x 241
531:3x 3x 59
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 3x 11x 59x 59 = 1033857
Therefore, the value for common factors is 1033857.
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 = 36383521390425/(1x1033857)
LCM = 36383521390425/1033857
LCM = 35192025
Thus, we can understand that the LCM of 275,649,531,723,531 is 35192025.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 649, 531, 723, 531?
Answer: LCM of 275, 649, 531, 723, 531 is 35192025.
2. How to calculate the LCM of 275, 649, 531, 723, 531?
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 275, 649, 531, 723, 531.
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}.