Find the LCM of 221, 189, 521, 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 221, 189, 521, 521. So, keep reading to learn more.
Given numbers are 221,189,521,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,189,521,521 is 21761649.
Find LCM of 221,189,521,521 with Prime Factorization
521 | 221, 189, 521, 521 |
221, 189, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
521 x 221 x 189 x 1 x 1 = 21761649
Therefore, the lowest common multiple of 221,189,521,521 is 21761649.
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.
221 x 189 x 521 x 521 = 11337819129
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.
221 : 1, 13, 17, 221
189 : 1, 3, 7, 9, 21, 27, 63, 189
521 : 1, 521
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,189,521,521, is 1.
Now, the common factors can be found like this.
221:13x 17
189:3x 3x 3x 7
521:521
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.
521 = 521
Therefore, the value for common factors is 521.
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 = 11337819129/(1x521)
LCM = 11337819129/521
LCM = 21761649
Thus, we can understand that the LCM of 221,189,521,521 is 21761649.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 189, 521, 521?
Answer: LCM of 221, 189, 521, 521 is 21761649.
2. How to calculate the LCM of 221, 189, 521, 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 221, 189, 521, 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}.