LCM of 898, 588, 589, 682, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 588, 589, 682, 196 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 898, 588, 589, 682, 196. So, keep reading to learn more.
Given numbers are 898,588,589,682,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,588,589,682,196 is 1710533748.
Find LCM of 898,588,589,682,196 with Prime Factorization
| 2 | 898, 588, 589, 682, 196 |
| 2 | 449, 294, 589, 341, 98 |
| 7 | 449, 147, 589, 341, 49 |
| 7 | 449, 21, 589, 341, 7 |
| 31 | 449, 3, 589, 341, 1 |
| 449, 3, 19, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 31 x 449 x 3 x 19 x 11 x 1 = 1710533748
Therefore, the lowest common multiple of 898,588,589,682,196 is 1710533748.
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.
898 x 588 x 589 x 682 x 196 = 41572812211392
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.
898 : 1, 2, 449, 898
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
589 : 1, 19, 31, 589
682 : 1, 2, 11, 22, 31, 62, 341, 682
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,588,589,682,196, is 1.
Now, the common factors can be found like this.
898:2x 449
588:2x 2x 3x 7x 7
589:19x 31
682:2x 11x 31
196:2x 2x 7x 7
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 7x 7x 31 = 24304
Therefore, the value for common factors is 24304.
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 = 41572812211392/(1x24304)
LCM = 41572812211392/24304
LCM = 1710533748
Thus, we can understand that the LCM of 898,588,589,682,196 is 1710533748.
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FAQs on LCM of 898, 588, 589, 682, 196
1. What is the LCM of 898, 588, 589, 682, 196?
Answer: LCM of 898, 588, 589, 682, 196 is 1710533748.
2. How to calculate the LCM of 898, 588, 589, 682, 196?
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 898, 588, 589, 682, 196.
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}.