LCM of 692, 481, 891, 390, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 481, 891, 390, 616 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 692, 481, 891, 390, 616. So, keep reading to learn more.
Given numbers are 692,481,891,390,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,481,891,390,616 is 20759979240.
Find LCM of 692,481,891,390,616 with Prime Factorization
| 2 | 692, 481, 891, 390, 616 |
| 2 | 346, 481, 891, 195, 308 |
| 3 | 173, 481, 891, 195, 154 |
| 11 | 173, 481, 297, 65, 154 |
| 13 | 173, 481, 27, 65, 14 |
| 173, 37, 27, 5, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 173 x 37 x 27 x 5 x 14 = 20759979240
Therefore, the lowest common multiple of 692,481,891,390,616 is 20759979240.
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.
692 x 481 x 891 x 390 x 616 = 71248248751680
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.
692 : 1, 2, 4, 173, 346, 692
481 : 1, 13, 37, 481
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,481,891,390,616, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
481:13x 37
891:3x 3x 3x 3x 11
390:2x 3x 5x 13
616:2x 2x 2x 7x 11
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 3x 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 71248248751680/(1x3432)
LCM = 71248248751680/3432
LCM = 20759979240
Thus, we can understand that the LCM of 692,481,891,390,616 is 20759979240.
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FAQs on LCM of 692, 481, 891, 390, 616
1. What is the LCM of 692, 481, 891, 390, 616?
Answer: LCM of 692, 481, 891, 390, 616 is 20759979240.
2. How to calculate the LCM of 692, 481, 891, 390, 616?
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 692, 481, 891, 390, 616.
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}.