LCM of 595, 658, 611, 206, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 658, 611, 206, 260 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 595, 658, 611, 206, 260. So, keep reading to learn more.
Given numbers are 595,658,611,206,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,658,611,206,260 is 149780540.
Find LCM of 595,658,611,206,260 with Prime Factorization
| 2 | 595, 658, 611, 206, 260 |
| 5 | 595, 329, 611, 103, 130 |
| 7 | 119, 329, 611, 103, 26 |
| 13 | 17, 47, 611, 103, 26 |
| 47 | 17, 47, 47, 103, 2 |
| 17, 1, 1, 103, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 47 x 17 x 1 x 1 x 103 x 2 = 149780540
Therefore, the lowest common multiple of 595,658,611,206,260 is 149780540.
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.
595 x 658 x 611 x 206 x 260 = 12812227391600
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
658 : 1, 2, 7, 14, 47, 94, 329, 658
611 : 1, 13, 47, 611
206 : 1, 2, 103, 206
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,658,611,206,260, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
658:2x 7x 47
611:13x 47
206:2x 103
260:2x 2x 5x 13
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 5x 7x 13x 47 = 85540
Therefore, the value for common factors is 85540.
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 = 12812227391600/(1x85540)
LCM = 12812227391600/85540
LCM = 149780540
Thus, we can understand that the LCM of 595,658,611,206,260 is 149780540.
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FAQs on LCM of 595, 658, 611, 206, 260
1. What is the LCM of 595, 658, 611, 206, 260?
Answer: LCM of 595, 658, 611, 206, 260 is 149780540.
2. How to calculate the LCM of 595, 658, 611, 206, 260?
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 595, 658, 611, 206, 260.
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}.