LCM of 698, 308, 580, 550, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 308, 580, 550, 489 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 698, 308, 580, 550, 489. So, keep reading to learn more.
Given numbers are 698,308,580,550,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,308,580,550,489 is 38108601300.
Find LCM of 698,308,580,550,489 with Prime Factorization
| 2 | 698, 308, 580, 550, 489 |
| 2 | 349, 154, 290, 275, 489 |
| 5 | 349, 77, 145, 275, 489 |
| 11 | 349, 77, 29, 55, 489 |
| 349, 7, 29, 5, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 349 x 7 x 29 x 5 x 489 = 38108601300
Therefore, the lowest common multiple of 698,308,580,550,489 is 38108601300.
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.
698 x 308 x 580 x 550 x 489 = 33535569144000
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.
698 : 1, 2, 349, 698
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,308,580,550,489, is 1.
Now, the common factors can be found like this.
698:2x 349
308:2x 2x 7x 11
580:2x 2x 5x 29
550:2x 5x 5x 11
489:3x 163
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 33535569144000/(1x880)
LCM = 33535569144000/880
LCM = 38108601300
Thus, we can understand that the LCM of 698,308,580,550,489 is 38108601300.
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FAQs on LCM of 698, 308, 580, 550, 489
1. What is the LCM of 698, 308, 580, 550, 489?
Answer: LCM of 698, 308, 580, 550, 489 is 38108601300.
2. How to calculate the LCM of 698, 308, 580, 550, 489?
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 698, 308, 580, 550, 489.
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}.