LCM of 589, 308, 680, 149, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 308, 680, 149, 806 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, 308, 680, 149, 806. So, keep reading to learn more.
Given numbers are 589,308,680,149,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,308,680,149,806 is 59737157480.
Find LCM of 589,308,680,149,806 with Prime Factorization
| 2 | 589, 308, 680, 149, 806 |
| 2 | 589, 154, 340, 149, 403 |
| 31 | 589, 77, 170, 149, 403 |
| 19, 77, 170, 149, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 19 x 77 x 170 x 149 x 13 = 59737157480
Therefore, the lowest common multiple of 589,308,680,149,806 is 59737157480.
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 308 x 680 x 149 x 806 = 14814815055040
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
149 : 1, 149
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,308,680,149,806, is 1.
Now, the common factors can be found like this.
589:19x 31
308:2x 2x 7x 11
680:2x 2x 2x 5x 17
149:149
806:2x 13x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 14814815055040/(1x248)
LCM = 14814815055040/248
LCM = 59737157480
Thus, we can understand that the LCM of 589,308,680,149,806 is 59737157480.
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FAQs on LCM of 589, 308, 680, 149, 806
1. What is the LCM of 589, 308, 680, 149, 806?
Answer: LCM of 589, 308, 680, 149, 806 is 59737157480.
2. How to calculate the LCM of 589, 308, 680, 149, 806?
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, 308, 680, 149, 806.
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}.