LCM of 330, 545, 217, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 545, 217, 770 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, 545, 217, 770. So, keep reading to learn more.
Given numbers are 330,545,217,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,545,217,770 is 7805490.
Find LCM of 330,545,217,770 with Prime Factorization
| 2 | 330, 545, 217, 770 |
| 5 | 165, 545, 217, 385 |
| 7 | 33, 109, 217, 77 |
| 11 | 33, 109, 31, 11 |
| 3, 109, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 3 x 109 x 31 x 1 = 7805490
Therefore, the lowest common multiple of 330,545,217,770 is 7805490.
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 545 x 217 x 770 = 30051136500
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
545 : 1, 5, 109, 545
217 : 1, 7, 31, 217
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,545,217,770, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
545:5x 109
217:7x 31
770:2x 5x 7x 11
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 5x 7x 11 = 3850
Therefore, the value for common factors is 3850.
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 = 30051136500/(1x3850)
LCM = 30051136500/3850
LCM = 7805490
Thus, we can understand that the LCM of 330,545,217,770 is 7805490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 545, 217, 770
1. What is the LCM of 330, 545, 217, 770?
Answer: LCM of 330, 545, 217, 770 is 7805490.
2. How to calculate the LCM of 330, 545, 217, 770?
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, 545, 217, 770.
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}.