LCM of 154, 814, 164, 187, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 814, 164, 187, 187 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 154, 814, 164, 187, 187. So, keep reading to learn more.
Given numbers are 154,814,164,187,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,814,164,187,187 is 7943012.
Find LCM of 154,814,164,187,187 with Prime Factorization
| 2 | 154, 814, 164, 187, 187 |
| 11 | 77, 407, 82, 187, 187 |
| 17 | 7, 37, 82, 17, 17 |
| 7, 37, 82, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 7 x 37 x 82 x 1 x 1 = 7943012
Therefore, the lowest common multiple of 154,814,164,187,187 is 7943012.
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.
154 x 814 x 164 x 187 x 187 = 718906130096
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
814 : 1, 2, 11, 22, 37, 74, 407, 814
164 : 1, 2, 4, 41, 82, 164
187 : 1, 11, 17, 187
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,814,164,187,187, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
814:2x 11x 37
164:2x 2x 41
187:11x 17
187:11x 17
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 11x 11x 11x 17 = 90508
Therefore, the value for common factors is 90508.
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 = 718906130096/(1x90508)
LCM = 718906130096/90508
LCM = 7943012
Thus, we can understand that the LCM of 154,814,164,187,187 is 7943012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 814, 164, 187, 187
1. What is the LCM of 154, 814, 164, 187, 187?
Answer: LCM of 154, 814, 164, 187, 187 is 7943012.
2. How to calculate the LCM of 154, 814, 164, 187, 187?
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 154, 814, 164, 187, 187.
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}.