LCM of 904, 756, 864, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 756, 864, 595 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 904, 756, 864, 595. So, keep reading to learn more.
Given numbers are 904,756,864,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,756,864,595 is 58091040.
Find LCM of 904,756,864,595 with Prime Factorization
| 2 | 904, 756, 864, 595 |
| 2 | 452, 378, 432, 595 |
| 2 | 226, 189, 216, 595 |
| 3 | 113, 189, 108, 595 |
| 3 | 113, 63, 36, 595 |
| 3 | 113, 21, 12, 595 |
| 7 | 113, 7, 4, 595 |
| 113, 1, 4, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 113 x 1 x 4 x 85 = 58091040
Therefore, the lowest common multiple of 904,756,864,595 is 58091040.
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.
904 x 756 x 864 x 595 = 351334609920
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,756,864,595, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
756:2x 2x 3x 3x 3x 7
864:2x 2x 2x 2x 2x 3x 3x 3
595:5x 7x 17
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 2x 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 351334609920/(1x6048)
LCM = 351334609920/6048
LCM = 58091040
Thus, we can understand that the LCM of 904,756,864,595 is 58091040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 756, 864, 595
1. What is the LCM of 904, 756, 864, 595?
Answer: LCM of 904, 756, 864, 595 is 58091040.
2. How to calculate the LCM of 904, 756, 864, 595?
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 904, 756, 864, 595.
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}.