LCM of 507, 861, 864, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 861, 864, 168 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 507, 861, 864, 168. So, keep reading to learn more.
Given numbers are 507,861,864,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,861,864,168 is 41906592.
Find LCM of 507,861,864,168 with Prime Factorization
| 2 | 507, 861, 864, 168 |
| 2 | 507, 861, 432, 84 |
| 2 | 507, 861, 216, 42 |
| 3 | 507, 861, 108, 21 |
| 7 | 169, 287, 36, 7 |
| 169, 41, 36, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 169 x 41 x 36 x 1 = 41906592
Therefore, the lowest common multiple of 507,861,864,168 is 41906592.
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.
507 x 861 x 864 x 168 = 63362767104
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.
507 : 1, 3, 13, 39, 169, 507
861 : 1, 3, 7, 21, 41, 123, 287, 861
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,861,864,168, is 3.
Now, the common factors can be found like this.
507:3x 13x 13
861:3x 7x 41
864:2x 2x 2x 2x 2x 3x 3x 3
168:2x 2x 2x 3x 7
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 7 = 504
Therefore, the value for common factors is 504.
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 = 63362767104/(3x504)
LCM = 63362767104/1512
LCM = 41906592
Thus, we can understand that the LCM of 507,861,864,168 is 41906592.
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FAQs on LCM of 507, 861, 864, 168
1. What is the LCM of 507, 861, 864, 168?
Answer: LCM of 507, 861, 864, 168 is 41906592.
2. How to calculate the LCM of 507, 861, 864, 168?
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 507, 861, 864, 168.
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}.