LCM of 218, 680, 463, 465, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 680, 463, 465, 530 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 218, 680, 463, 465, 530. So, keep reading to learn more.
Given numbers are 218,680,463,465,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,680,463,465,530 is 169151253240.
Find LCM of 218,680,463,465,530 with Prime Factorization
| 2 | 218, 680, 463, 465, 530 |
| 5 | 109, 340, 463, 465, 265 |
| 109, 68, 463, 93, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 68 x 463 x 93 x 53 = 169151253240
Therefore, the lowest common multiple of 218,680,463,465,530 is 169151253240.
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.
218 x 680 x 463 x 465 x 530 = 16915125324000
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.
218 : 1, 2, 109, 218
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
463 : 1, 463
465 : 1, 3, 5, 15, 31, 93, 155, 465
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,680,463,465,530, is 1.
Now, the common factors can be found like this.
218:2x 109
680:2x 2x 2x 5x 17
463:463
465:3x 5x 31
530:2x 5x 53
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 16915125324000/(1x100)
LCM = 16915125324000/100
LCM = 169151253240
Thus, we can understand that the LCM of 218,680,463,465,530 is 169151253240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 680, 463, 465, 530
1. What is the LCM of 218, 680, 463, 465, 530?
Answer: LCM of 218, 680, 463, 465, 530 is 169151253240.
2. How to calculate the LCM of 218, 680, 463, 465, 530?
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 218, 680, 463, 465, 530.
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}.