LCM of 754, 276, 976, 486, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 276, 976, 486, 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 754, 276, 976, 486, 585. So, keep reading to learn more.
Given numbers are 754,276,976,486,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,276,976,486,585 is 10282418640.
Find LCM of 754,276,976,486,585 with Prime Factorization
| 2 | 754, 276, 976, 486, 585 |
| 2 | 377, 138, 488, 243, 585 |
| 3 | 377, 69, 244, 243, 585 |
| 3 | 377, 23, 244, 81, 195 |
| 13 | 377, 23, 244, 27, 65 |
| 29, 23, 244, 27, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 29 x 23 x 244 x 27 x 5 = 10282418640
Therefore, the lowest common multiple of 754,276,976,486,585 is 10282418640.
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.
754 x 276 x 976 x 486 x 585 = 57746063082240
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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 754,276,976,486,585, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
276:2x 2x 3x 23
976:2x 2x 2x 2x 61
486:2x 3x 3x 3x 3x 3
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 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 57746063082240/(1x5616)
LCM = 57746063082240/5616
LCM = 10282418640
Thus, we can understand that the LCM of 754,276,976,486,585 is 10282418640.
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FAQs on LCM of 754, 276, 976, 486, 585
1. What is the LCM of 754, 276, 976, 486, 585?
Answer: LCM of 754, 276, 976, 486, 585 is 10282418640.
2. How to calculate the LCM of 754, 276, 976, 486, 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 754, 276, 976, 486, 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}.