LCM of 585, 740, 723, 936, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 740, 723, 936, 798 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 585, 740, 723, 936, 798. So, keep reading to learn more.
Given numbers are 585,740,723,936,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,740,723,936,798 is 5550297480.
Find LCM of 585,740,723,936,798 with Prime Factorization
| 2 | 585, 740, 723, 936, 798 |
| 2 | 585, 370, 723, 468, 399 |
| 3 | 585, 185, 723, 234, 399 |
| 3 | 195, 185, 241, 78, 133 |
| 5 | 65, 185, 241, 26, 133 |
| 13 | 13, 37, 241, 26, 133 |
| 1, 37, 241, 2, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 1 x 37 x 241 x 2 x 133 = 5550297480
Therefore, the lowest common multiple of 585,740,723,936,798 is 5550297480.
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.
585 x 740 x 723 x 936 x 798 = 233778529857600
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
723 : 1, 3, 241, 723
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,740,723,936,798, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
740:2x 2x 5x 37
723:3x 241
936:2x 2x 2x 3x 3x 13
798:2x 3x 7x 19
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 3x 3x 3x 5x 13 = 42120
Therefore, the value for common factors is 42120.
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 = 233778529857600/(1x42120)
LCM = 233778529857600/42120
LCM = 5550297480
Thus, we can understand that the LCM of 585,740,723,936,798 is 5550297480.
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FAQs on LCM of 585, 740, 723, 936, 798
1. What is the LCM of 585, 740, 723, 936, 798?
Answer: LCM of 585, 740, 723, 936, 798 is 5550297480.
2. How to calculate the LCM of 585, 740, 723, 936, 798?
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 585, 740, 723, 936, 798.
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}.