LCM of 187, 412, 493, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 412, 493, 174 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 187, 412, 493, 174. So, keep reading to learn more.
Given numbers are 187,412,493,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,412,493,174 is 6702828.
Find LCM of 187,412,493,174 with Prime Factorization
| 2 | 187, 412, 493, 174 |
| 17 | 187, 206, 493, 87 |
| 29 | 11, 206, 29, 87 |
| 11, 206, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 11 x 206 x 1 x 3 = 6702828
Therefore, the lowest common multiple of 187,412,493,174 is 6702828.
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.
187 x 412 x 493 x 174 = 6608988408
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.
187 : 1, 11, 17, 187
412 : 1, 2, 4, 103, 206, 412
493 : 1, 17, 29, 493
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,412,493,174, is 1.
Now, the common factors can be found like this.
187:11x 17
412:2x 2x 103
493:17x 29
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 29 = 986
Therefore, the value for common factors is 986.
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 = 6608988408/(1x986)
LCM = 6608988408/986
LCM = 6702828
Thus, we can understand that the LCM of 187,412,493,174 is 6702828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 412, 493, 174
1. What is the LCM of 187, 412, 493, 174?
Answer: LCM of 187, 412, 493, 174 is 6702828.
2. How to calculate the LCM of 187, 412, 493, 174?
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 187, 412, 493, 174.
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}.