LCM of 599, 218, 232, 899, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 218, 232, 899, 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 599, 218, 232, 899, 671. So, keep reading to learn more.
Given numbers are 599,218,232,899,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,218,232,899,671 is 315083397112.
Find LCM of 599,218,232,899,671 with Prime Factorization
| 2 | 599, 218, 232, 899, 671 |
| 29 | 599, 109, 116, 899, 671 |
| 599, 109, 4, 31, 671 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 599 x 109 x 4 x 31 x 671 = 315083397112
Therefore, the lowest common multiple of 599,218,232,899,671 is 315083397112.
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.
599 x 218 x 232 x 899 x 671 = 18274837032496
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.
599 : 1, 599
218 : 1, 2, 109, 218
232 : 1, 2, 4, 8, 29, 58, 116, 232
899 : 1, 29, 31, 899
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,218,232,899,671, is 1.
Now, the common factors can be found like this.
599:599
218:2x 109
232:2x 2x 2x 29
899:29x 31
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.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 18274837032496/(1x58)
LCM = 18274837032496/58
LCM = 315083397112
Thus, we can understand that the LCM of 599,218,232,899,671 is 315083397112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 218, 232, 899, 671
1. What is the LCM of 599, 218, 232, 899, 671?
Answer: LCM of 599, 218, 232, 899, 671 is 315083397112.
2. How to calculate the LCM of 599, 218, 232, 899, 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 599, 218, 232, 899, 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}.