LCM of 164, 963, 870, 774, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 963, 870, 774, 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 164, 963, 870, 774, 530. So, keep reading to learn more.
Given numbers are 164,963,870,774,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,963,870,774,530 is 52189419060.
Find LCM of 164,963,870,774,530 with Prime Factorization
| 2 | 164, 963, 870, 774, 530 |
| 3 | 82, 963, 435, 387, 265 |
| 3 | 82, 321, 145, 129, 265 |
| 5 | 82, 107, 145, 43, 265 |
| 82, 107, 29, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 82 x 107 x 29 x 43 x 53 = 52189419060
Therefore, the lowest common multiple of 164,963,870,774,530 is 52189419060.
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.
164 x 963 x 870 x 774 x 530 = 56364572584800
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.
164 : 1, 2, 4, 41, 82, 164
963 : 1, 3, 9, 107, 321, 963
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 164,963,870,774,530, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
963:3x 3x 107
870:2x 3x 5x 29
774:2x 3x 3x 43
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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 56364572584800/(1x1080)
LCM = 56364572584800/1080
LCM = 52189419060
Thus, we can understand that the LCM of 164,963,870,774,530 is 52189419060.
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FAQs on LCM of 164, 963, 870, 774, 530
1. What is the LCM of 164, 963, 870, 774, 530?
Answer: LCM of 164, 963, 870, 774, 530 is 52189419060.
2. How to calculate the LCM of 164, 963, 870, 774, 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 164, 963, 870, 774, 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}.