LCM of 184, 167, 530, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 167, 530, 835 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 184, 167, 530, 835. So, keep reading to learn more.
Given numbers are 184,167,530,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,167,530,835 is 8142920.
Find LCM of 184,167,530,835 with Prime Factorization
| 2 | 184, 167, 530, 835 |
| 5 | 92, 167, 265, 835 |
| 167 | 92, 167, 53, 167 |
| 92, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 167 x 92 x 1 x 53 x 1 = 8142920
Therefore, the lowest common multiple of 184,167,530,835 is 8142920.
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.
184 x 167 x 530 x 835 = 13598676400
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
167 : 1, 167
530 : 1, 2, 5, 10, 53, 106, 265, 530
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,167,530,835, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
167:167
530:2x 5x 53
835:5x 167
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 167 = 1670
Therefore, the value for common factors is 1670.
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 = 13598676400/(1x1670)
LCM = 13598676400/1670
LCM = 8142920
Thus, we can understand that the LCM of 184,167,530,835 is 8142920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 184, 167, 530, 835
1. What is the LCM of 184, 167, 530, 835?
Answer: LCM of 184, 167, 530, 835 is 8142920.
2. How to calculate the LCM of 184, 167, 530, 835?
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 184, 167, 530, 835.
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}.