LCM of 330, 755, 676, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 755, 676, 221 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 330, 755, 676, 221. So, keep reading to learn more.
Given numbers are 330,755,676,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,755,676,221 is 286323180.
Find LCM of 330,755,676,221 with Prime Factorization
| 2 | 330, 755, 676, 221 |
| 5 | 165, 755, 338, 221 |
| 13 | 33, 151, 338, 221 |
| 33, 151, 26, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 33 x 151 x 26 x 17 = 286323180
Therefore, the lowest common multiple of 330,755,676,221 is 286323180.
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.
330 x 755 x 676 x 221 = 37222013400
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
755 : 1, 5, 151, 755
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,755,676,221, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
755:5x 151
676:2x 2x 13x 13
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 37222013400/(1x130)
LCM = 37222013400/130
LCM = 286323180
Thus, we can understand that the LCM of 330,755,676,221 is 286323180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 755, 676, 221
1. What is the LCM of 330, 755, 676, 221?
Answer: LCM of 330, 755, 676, 221 is 286323180.
2. How to calculate the LCM of 330, 755, 676, 221?
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 330, 755, 676, 221.
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}.