LCM of 187, 579, 123, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 579, 123, 671 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, 579, 123, 671. So, keep reading to learn more.
Given numbers are 187,579,123,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,579,123,671 is 270790773.
Find LCM of 187,579,123,671 with Prime Factorization
| 3 | 187, 579, 123, 671 |
| 11 | 187, 193, 41, 671 |
| 17, 193, 41, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 193 x 41 x 61 = 270790773
Therefore, the lowest common multiple of 187,579,123,671 is 270790773.
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 579 x 123 x 671 = 8936095509
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
579 : 1, 3, 193, 579
123 : 1, 3, 41, 123
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,579,123,671, is 1.
Now, the common factors can be found like this.
187:11x 17
579:3x 193
123:3x 41
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 8936095509/(1x33)
LCM = 8936095509/33
LCM = 270790773
Thus, we can understand that the LCM of 187,579,123,671 is 270790773.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 579, 123, 671
1. What is the LCM of 187, 579, 123, 671?
Answer: LCM of 187, 579, 123, 671 is 270790773.
2. How to calculate the LCM of 187, 579, 123, 671?
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, 579, 123, 671.
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}.