LCM of 936, 280, 742, 601, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 280, 742, 601, 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 936, 280, 742, 601, 585. So, keep reading to learn more.
Given numbers are 936,280,742,601,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,280,742,601,585 is 1043504280.
Find LCM of 936,280,742,601,585 with Prime Factorization
| 2 | 936, 280, 742, 601, 585 |
| 2 | 468, 140, 371, 601, 585 |
| 2 | 234, 70, 371, 601, 585 |
| 3 | 117, 35, 371, 601, 585 |
| 3 | 39, 35, 371, 601, 195 |
| 5 | 13, 35, 371, 601, 65 |
| 7 | 13, 7, 371, 601, 13 |
| 13 | 13, 1, 53, 601, 13 |
| 1, 1, 53, 601, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 1 x 1 x 53 x 601 x 1 = 1043504280
Therefore, the lowest common multiple of 936,280,742,601,585 is 1043504280.
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.
936 x 280 x 742 x 601 x 585 = 68370400425600
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.
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
742 : 1, 2, 7, 14, 53, 106, 371, 742
601 : 1, 601
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 936,280,742,601,585, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
280:2x 2x 2x 5x 7
742:2x 7x 53
601:601
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 2x 2x 3x 3x 5x 7x 13 = 65520
Therefore, the value for common factors is 65520.
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 = 68370400425600/(1x65520)
LCM = 68370400425600/65520
LCM = 1043504280
Thus, we can understand that the LCM of 936,280,742,601,585 is 1043504280.
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FAQs on LCM of 936, 280, 742, 601, 585
1. What is the LCM of 936, 280, 742, 601, 585?
Answer: LCM of 936, 280, 742, 601, 585 is 1043504280.
2. How to calculate the LCM of 936, 280, 742, 601, 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 936, 280, 742, 601, 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}.