LCM of 786, 752, 585, 838, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 752, 585, 838, 611 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 786, 752, 585, 838, 611. So, keep reading to learn more.
Given numbers are 786,752,585,838,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,752,585,838,611 is 24146768880.
Find LCM of 786,752,585,838,611 with Prime Factorization
| 2 | 786, 752, 585, 838, 611 |
| 3 | 393, 376, 585, 419, 611 |
| 13 | 131, 376, 195, 419, 611 |
| 47 | 131, 376, 15, 419, 47 |
| 131, 8, 15, 419, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 47 x 131 x 8 x 15 x 419 x 1 = 24146768880
Therefore, the lowest common multiple of 786,752,585,838,611 is 24146768880.
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.
786 x 752 x 585 x 838 x 611 = 177044109428160
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
838 : 1, 2, 419, 838
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,752,585,838,611, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
752:2x 2x 2x 2x 47
585:3x 3x 5x 13
838:2x 419
611:13x 47
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 3x 13x 47 = 7332
Therefore, the value for common factors is 7332.
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 = 177044109428160/(1x7332)
LCM = 177044109428160/7332
LCM = 24146768880
Thus, we can understand that the LCM of 786,752,585,838,611 is 24146768880.
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FAQs on LCM of 786, 752, 585, 838, 611
1. What is the LCM of 786, 752, 585, 838, 611?
Answer: LCM of 786, 752, 585, 838, 611 is 24146768880.
2. How to calculate the LCM of 786, 752, 585, 838, 611?
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 786, 752, 585, 838, 611.
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}.