Find the LCM of 675, 521, 187, 442, 521 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 675, 521, 187, 442, 521. So, keep reading to learn more.
Given numbers are 675,521,187,442,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,521,187,442,521 is 1709843850.
Find LCM of 675,521,187,442,521 with Prime Factorization
17 | 675, 521, 187, 442, 521 |
521 | 675, 521, 11, 26, 521 |
675, 1, 11, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 521 x 675 x 1 x 11 x 26 x 1 = 1709843850
Therefore, the lowest common multiple of 675,521,187,442,521 is 1709843850.
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.
675 x 521 x 187 x 442 x 521 = 15144086979450
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
521 : 1, 521
187 : 1, 11, 17, 187
442 : 1, 2, 13, 17, 26, 34, 221, 442
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,521,187,442,521, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
521:521
187:11x 17
442:2x 13x 17
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 521 = 8857
Therefore, the value for common factors is 8857.
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 = 15144086979450/(1x8857)
LCM = 15144086979450/8857
LCM = 1709843850
Thus, we can understand that the LCM of 675,521,187,442,521 is 1709843850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 675, 521, 187, 442, 521?
Answer: LCM of 675, 521, 187, 442, 521 is 1709843850.
2. How to calculate the LCM of 675, 521, 187, 442, 521?
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 675, 521, 187, 442, 521.
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}.