LCM of 190, 327, 377, 741, 487
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 327, 377, 741, 487 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 190, 327, 377, 741, 487. So, keep reading to learn more.
Given numbers are 190,327,377,741,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,327,377,741,487 is 11407005870.
Find LCM of 190,327,377,741,487 with Prime Factorization
| 3 | 190, 327, 377, 741, 487 |
| 13 | 190, 109, 377, 247, 487 |
| 19 | 190, 109, 29, 19, 487 |
| 10, 109, 29, 1, 487 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 10 x 109 x 29 x 1 x 487 = 11407005870
Therefore, the lowest common multiple of 190,327,377,741,487 is 11407005870.
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.
190 x 327 x 377 x 741 x 487 = 8452591349670
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
327 : 1, 3, 109, 327
377 : 1, 13, 29, 377
741 : 1, 3, 13, 19, 39, 57, 247, 741
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,327,377,741,487, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
327:3x 109
377:13x 29
741:3x 13x 19
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 8452591349670/(1x741)
LCM = 8452591349670/741
LCM = 11407005870
Thus, we can understand that the LCM of 190,327,377,741,487 is 11407005870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 190, 327, 377, 741, 487
1. What is the LCM of 190, 327, 377, 741, 487?
Answer: LCM of 190, 327, 377, 741, 487 is 11407005870.
2. How to calculate the LCM of 190, 327, 377, 741, 487?
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 190, 327, 377, 741, 487.
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}.