Find the LCM of 213, 726, 330, 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 213, 726, 330, 521. So, keep reading to learn more.
Given numbers are 213,726,330,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,726,330,521 is 134277330.
Find LCM of 213,726,330,521 with Prime Factorization
2 | 213, 726, 330, 521 |
3 | 213, 363, 165, 521 |
11 | 71, 121, 55, 521 |
71, 11, 5, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 11 x 5 x 521 = 134277330
Therefore, the lowest common multiple of 213,726,330,521 is 134277330.
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.
213 x 726 x 330 x 521 = 26586911340
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.
213 : 1, 3, 71, 213
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,726,330,521, is 1.
Now, the common factors can be found like this.
213:3x 71
726:2x 3x 11x 11
330:2x 3x 5x 11
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.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 26586911340/(1x198)
LCM = 26586911340/198
LCM = 134277330
Thus, we can understand that the LCM of 213,726,330,521 is 134277330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 213, 726, 330, 521?
Answer: LCM of 213, 726, 330, 521 is 134277330.
2. How to calculate the LCM of 213, 726, 330, 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 213, 726, 330, 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}.