LCM of 792, 916, 351, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 916, 351, 585 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 792, 916, 351, 585. So, keep reading to learn more.
Given numbers are 792,916,351,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,916,351,585 is 35366760.
Find LCM of 792,916,351,585 with Prime Factorization
| 2 | 792, 916, 351, 585 |
| 2 | 396, 458, 351, 585 |
| 3 | 198, 229, 351, 585 |
| 3 | 66, 229, 117, 195 |
| 13 | 22, 229, 39, 65 |
| 22, 229, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 22 x 229 x 3 x 5 = 35366760
Therefore, the lowest common multiple of 792,916,351,585 is 35366760.
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.
792 x 916 x 351 x 585 = 148964793120
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
916 : 1, 2, 4, 229, 458, 916
351 : 1, 3, 9, 13, 27, 39, 117, 351
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,916,351,585, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
916:2x 2x 229
351:3x 3x 3x 13
585:3x 3x 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 3x 3x 3x 3x 13 = 4212
Therefore, the value for common factors is 4212.
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 = 148964793120/(1x4212)
LCM = 148964793120/4212
LCM = 35366760
Thus, we can understand that the LCM of 792,916,351,585 is 35366760.
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FAQs on LCM of 792, 916, 351, 585
1. What is the LCM of 792, 916, 351, 585?
Answer: LCM of 792, 916, 351, 585 is 35366760.
2. How to calculate the LCM of 792, 916, 351, 585?
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 792, 916, 351, 585.
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}.