LCM of 513, 754, 622, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 754, 622, 330 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 513, 754, 622, 330. So, keep reading to learn more.
Given numbers are 513,754,622,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,754,622,330 is 6616248210.
Find LCM of 513,754,622,330 with Prime Factorization
| 2 | 513, 754, 622, 330 |
| 3 | 513, 377, 311, 165 |
| 171, 377, 311, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 171 x 377 x 311 x 55 = 6616248210
Therefore, the lowest common multiple of 513,754,622,330 is 6616248210.
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.
513 x 754 x 622 x 330 = 79394978520
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
754 : 1, 2, 13, 26, 29, 58, 377, 754
622 : 1, 2, 311, 622
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,754,622,330, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
754:2x 13x 29
622:2x 311
330:2x 3x 5x 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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 79394978520/(1x12)
LCM = 79394978520/12
LCM = 6616248210
Thus, we can understand that the LCM of 513,754,622,330 is 6616248210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 754, 622, 330
1. What is the LCM of 513, 754, 622, 330?
Answer: LCM of 513, 754, 622, 330 is 6616248210.
2. How to calculate the LCM of 513, 754, 622, 330?
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 513, 754, 622, 330.
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}.