LCM of 589, 684, 676, 488, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 684, 676, 488, 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 589, 684, 676, 488, 174. So, keep reading to learn more.
Given numbers are 589,684,676,488,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,684,676,488,174 is 12678338088.
Find LCM of 589,684,676,488,174 with Prime Factorization
| 2 | 589, 684, 676, 488, 174 |
| 2 | 589, 342, 338, 244, 87 |
| 3 | 589, 171, 169, 122, 87 |
| 19 | 589, 57, 169, 122, 29 |
| 31, 3, 169, 122, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 31 x 3 x 169 x 122 x 29 = 12678338088
Therefore, the lowest common multiple of 589,684,676,488,174 is 12678338088.
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.
589 x 684 x 676 x 488 x 174 = 23125288672512
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.
589 : 1, 19, 31, 589
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
488 : 1, 2, 4, 8, 61, 122, 244, 488
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 589,684,676,488,174, is 1.
Now, the common factors can be found like this.
589:19x 31
684:2x 2x 3x 3x 19
676:2x 2x 13x 13
488:2x 2x 2x 61
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 2x 2x 2x 2x 3x 19 = 1824
Therefore, the value for common factors is 1824.
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 = 23125288672512/(1x1824)
LCM = 23125288672512/1824
LCM = 12678338088
Thus, we can understand that the LCM of 589,684,676,488,174 is 12678338088.
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FAQs on LCM of 589, 684, 676, 488, 174
1. What is the LCM of 589, 684, 676, 488, 174?
Answer: LCM of 589, 684, 676, 488, 174 is 12678338088.
2. How to calculate the LCM of 589, 684, 676, 488, 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 589, 684, 676, 488, 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}.